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Finding the Fourth Proportional to 9,228.16, 12,735.48 and 5,691.52

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Solution

The fourth proportional to 9,228.16, 12,735.48 and 5,691.52 is: 7,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.16 : 12,735.48 = 5,691.52 : x
  2. Step 2: Convert to fraction form
    9,228.16/12,735.48 = 5,691.52/x
  3. Step 3: Cross multiply
    9,228.16x = 12,735.48 × 5,691.52
  4. Step 4: Simplify right side
    9,228.16x = 72,484,239.13
  5. Step 5: Solve for x
    x = 72,484,239.13/9,228.16
  6. Step 6: Final answer
    x = 7,854.68

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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.