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Finding the Fourth Proportional to 1,502.17, 2,072.97 and 839.10

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Solution

The fourth proportional to 1,502.17, 2,072.97 and 839.10 is: 1,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.17 : 2,072.97 = 839.10 : x
  2. Step 2: Convert to fraction form
    1,502.17/2,072.97 = 839.10/x
  3. Step 3: Cross multiply
    1,502.17x = 2,072.97 × 839.10
  4. Step 4: Simplify right side
    1,502.17x = 1,739,429.13
  5. Step 5: Solve for x
    x = 1,739,429.13/1,502.17
  6. Step 6: Final answer
    x = 1,157.94

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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.