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Finding the Fourth Proportional to 9,432.84, 13,017.66 and 5,455.20

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Solution

The fourth proportional to 9,432.84, 13,017.66 and 5,455.20 is: 7,528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.84 : 13,017.66 = 5,455.20 : x
  2. Step 2: Convert to fraction form
    9,432.84/13,017.66 = 5,455.20/x
  3. Step 3: Cross multiply
    9,432.84x = 13,017.66 × 5,455.20
  4. Step 4: Simplify right side
    9,432.84x = 71,013,938.83
  5. Step 5: Solve for x
    x = 71,013,938.83/9,432.84
  6. Step 6: Final answer
    x = 7,528.37

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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.