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Finding the Fourth Proportional to 3,109, 4,664.16 and 917.54

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Solution

The fourth proportional to 3,109, 4,664.16 and 917.54 is: 1,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109 : 4,664.16 = 917.54 : x
  2. Step 2: Convert to fraction form
    3,109/4,664.16 = 917.54/x
  3. Step 3: Cross multiply
    3,109x = 4,664.16 × 917.54
  4. Step 4: Simplify right side
    3,109x = 4,279,553.37
  5. Step 5: Solve for x
    x = 4,279,553.37/3,109
  6. Step 6: Final answer
    x = 1,376.50

Related Problems

Find fourth proportional to 1,554.50, 2,332.08 and 458.77
Half scale
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Double scale
Find fourth proportional to 3,110, 4,665.66 and 918.54
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.