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Finding the Fourth Proportional to 27,502.81, 37,915.09 and 19,542.13

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Solution

The fourth proportional to 27,502.81, 37,915.09 and 19,542.13 is: 26,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502.81 : 37,915.09 = 19,542.13 : x
  2. Step 2: Convert to fraction form
    27,502.81/37,915.09 = 19,542.13/x
  3. Step 3: Cross multiply
    27,502.81x = 37,915.09 × 19,542.13
  4. Step 4: Simplify right side
    27,502.81x = 740,941,617.74
  5. Step 5: Solve for x
    x = 740,941,617.74/27,502.81
  6. Step 6: Final answer
    x = 26,940.58

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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.