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Finding the Fourth Proportional to 7,098.48, 10,652.56 and 3,638.16

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Solution

The fourth proportional to 7,098.48, 10,652.56 and 3,638.16 is: 5,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.48 : 10,652.56 = 3,638.16 : x
  2. Step 2: Convert to fraction form
    7,098.48/10,652.56 = 3,638.16/x
  3. Step 3: Cross multiply
    7,098.48x = 10,652.56 × 3,638.16
  4. Step 4: Simplify right side
    7,098.48x = 38,755,717.69
  5. Step 5: Solve for x
    x = 38,755,717.69/7,098.48
  6. Step 6: Final answer
    x = 5,459.72

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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.