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Finding the Fourth Proportional to 5,218.77, 7,828.17 and 1,323.17

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Solution

The fourth proportional to 5,218.77, 7,828.17 and 1,323.17 is: 1,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.77 : 7,828.17 = 1,323.17 : x
  2. Step 2: Convert to fraction form
    5,218.77/7,828.17 = 1,323.17/x
  3. Step 3: Cross multiply
    5,218.77x = 7,828.17 × 1,323.17
  4. Step 4: Simplify right side
    5,218.77x = 10,357,999.70
  5. Step 5: Solve for x
    x = 10,357,999.70/5,218.77
  6. Step 6: Final answer
    x = 1,984.76

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Double scale
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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.