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Finding the Fourth Proportional to 9,153.30, 12,632.58 and 7,658.58

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Solution

The fourth proportional to 9,153.30, 12,632.58 and 7,658.58 is: 10,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.30 : 12,632.58 = 7,658.58 : x
  2. Step 2: Convert to fraction form
    9,153.30/12,632.58 = 7,658.58/x
  3. Step 3: Cross multiply
    9,153.30x = 12,632.58 × 7,658.58
  4. Step 4: Simplify right side
    9,153.30x = 96,747,624.54
  5. Step 5: Solve for x
    x = 96,747,624.54/9,153.30
  6. Step 6: Final answer
    x = 10,569.70

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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.