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Finding the Fourth Proportional to 15,642.72, 23,461.92 and 9,072

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Solution

The fourth proportional to 15,642.72, 23,461.92 and 9,072 is: 13,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.72 : 23,461.92 = 9,072 : x
  2. Step 2: Convert to fraction form
    15,642.72/23,461.92 = 9,072/x
  3. Step 3: Cross multiply
    15,642.72x = 23,461.92 × 9,072
  4. Step 4: Simplify right side
    15,642.72x = 212,846,538.24
  5. Step 5: Solve for x
    x = 212,846,538.24/15,642.72
  6. Step 6: Final answer
    x = 13,606.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.