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Finding the Fourth Proportional to 9,728.64, 14,565.12 and 9,116.16

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Solution

The fourth proportional to 9,728.64, 14,565.12 and 9,116.16 is: 13,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.64 : 14,565.12 = 9,116.16 : x
  2. Step 2: Convert to fraction form
    9,728.64/14,565.12 = 9,116.16/x
  3. Step 3: Cross multiply
    9,728.64x = 14,565.12 × 9,116.16
  4. Step 4: Simplify right side
    9,728.64x = 132,777,964.34
  5. Step 5: Solve for x
    x = 132,777,964.34/9,728.64
  6. Step 6: Final answer
    x = 13,648.15

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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.