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Finding the Fourth Proportional to 1,502.92, 2,242.31 and 1,347.40

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Solution

The fourth proportional to 1,502.92, 2,242.31 and 1,347.40 is: 2,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.92 : 2,242.31 = 1,347.40 : x
  2. Step 2: Convert to fraction form
    1,502.92/2,242.31 = 1,347.40/x
  3. Step 3: Cross multiply
    1,502.92x = 2,242.31 × 1,347.40
  4. Step 4: Simplify right side
    1,502.92x = 3,021,288.49
  5. Step 5: Solve for x
    x = 3,021,288.49/1,502.92
  6. Step 6: Final answer
    x = 2,010.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.