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Finding the Fourth Proportional to 27,912, 38,518.84 and 15,337.02

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Solution

The fourth proportional to 27,912, 38,518.84 and 15,337.02 is: 21,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912 : 38,518.84 = 15,337.02 : x
  2. Step 2: Convert to fraction form
    27,912/38,518.84 = 15,337.02/x
  3. Step 3: Cross multiply
    27,912x = 38,518.84 × 15,337.02
  4. Step 4: Simplify right side
    27,912x = 590,764,219.46
  5. Step 5: Solve for x
    x = 590,764,219.46/27,912
  6. Step 6: Final answer
    x = 21,165.24

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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.