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Finding the Fourth Proportional to 27,519.98, 37,978.51 and 15,420.97

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Solution

The fourth proportional to 27,519.98, 37,978.51 and 15,420.97 is: 21,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,519.98 : 37,978.51 = 15,420.97 : x
  2. Step 2: Convert to fraction form
    27,519.98/37,978.51 = 15,420.97/x
  3. Step 3: Cross multiply
    27,519.98x = 37,978.51 × 15,420.97
  4. Step 4: Simplify right side
    27,519.98x = 585,665,426.10
  5. Step 5: Solve for x
    x = 585,665,426.10/27,519.98
  6. Step 6: Final answer
    x = 21,281.46

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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.