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Finding the Fourth Proportional to 9,730.64, 14,568.12 and 9,118.16

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Solution

The fourth proportional to 9,730.64, 14,568.12 and 9,118.16 is: 13,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.64 : 14,568.12 = 9,118.16 : x
  2. Step 2: Convert to fraction form
    9,730.64/14,568.12 = 9,118.16/x
  3. Step 3: Cross multiply
    9,730.64x = 14,568.12 × 9,118.16
  4. Step 4: Simplify right side
    9,730.64x = 132,834,449.06
  5. Step 5: Solve for x
    x = 132,834,449.06/9,730.64
  6. Step 6: Final answer
    x = 13,651.15

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