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Finding the Fourth Proportional to 27,432, 37,857.78 and 15,495.03

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Solution

The fourth proportional to 27,432, 37,857.78 and 15,495.03 is: 21,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432 : 37,857.78 = 15,495.03 : x
  2. Step 2: Convert to fraction form
    27,432/37,857.78 = 15,495.03/x
  3. Step 3: Cross multiply
    27,432x = 37,857.78 × 15,495.03
  4. Step 4: Simplify right side
    27,432x = 586,607,436.83
  5. Step 5: Solve for x
    x = 586,607,436.83/27,432
  6. Step 6: Final answer
    x = 21,384.06

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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.