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Finding the Fourth Proportional to 1,311.06, 1,810.18 and 918.62

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Solution

The fourth proportional to 1,311.06, 1,810.18 and 918.62 is: 1,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.06 : 1,810.18 = 918.62 : x
  2. Step 2: Convert to fraction form
    1,311.06/1,810.18 = 918.62/x
  3. Step 3: Cross multiply
    1,311.06x = 1,810.18 × 918.62
  4. Step 4: Simplify right side
    1,311.06x = 1,662,867.55
  5. Step 5: Solve for x
    x = 1,662,867.55/1,311.06
  6. Step 6: Final answer
    x = 1,268.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.