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Finding the Fourth Proportional to 10,653.12, 14,683.68 and 7,115.04

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Solution

The fourth proportional to 10,653.12, 14,683.68 and 7,115.04 is: 9,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.12 : 14,683.68 = 7,115.04 : x
  2. Step 2: Convert to fraction form
    10,653.12/14,683.68 = 7,115.04/x
  3. Step 3: Cross multiply
    10,653.12x = 14,683.68 × 7,115.04
  4. Step 4: Simplify right side
    10,653.12x = 104,474,970.55
  5. Step 5: Solve for x
    x = 104,474,970.55/10,653.12
  6. Step 6: Final answer
    x = 9,806.98

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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.