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Finding the Fourth Proportional to 15,488.64, 23,202 and 7,157.16

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Solution

The fourth proportional to 15,488.64, 23,202 and 7,157.16 is: 10,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,488.64 : 23,202 = 7,157.16 : x
  2. Step 2: Convert to fraction form
    15,488.64/23,202 = 7,157.16/x
  3. Step 3: Cross multiply
    15,488.64x = 23,202 × 7,157.16
  4. Step 4: Simplify right side
    15,488.64x = 166,060,426.32
  5. Step 5: Solve for x
    x = 166,060,426.32/15,488.64
  6. Step 6: Final answer
    x = 10,721.43

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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.