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Finding the Fourth Proportional to 14,312.64, 19,753.20 and 9,007.68

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Solution

The fourth proportional to 14,312.64, 19,753.20 and 9,007.68 is: 12,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.64 : 19,753.20 = 9,007.68 : x
  2. Step 2: Convert to fraction form
    14,312.64/19,753.20 = 9,007.68/x
  3. Step 3: Cross multiply
    14,312.64x = 19,753.20 × 9,007.68
  4. Step 4: Simplify right side
    14,312.64x = 177,930,504.58
  5. Step 5: Solve for x
    x = 177,930,504.58/14,312.64
  6. Step 6: Final answer
    x = 12,431.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.