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Finding the Fourth Proportional to 9,412.92, 12,988.36 and 5,433.29

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Solution

The fourth proportional to 9,412.92, 12,988.36 and 5,433.29 is: 7,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.92 : 12,988.36 = 5,433.29 : x
  2. Step 2: Convert to fraction form
    9,412.92/12,988.36 = 5,433.29/x
  3. Step 3: Cross multiply
    9,412.92x = 12,988.36 × 5,433.29
  4. Step 4: Simplify right side
    9,412.92x = 70,569,545.39
  5. Step 5: Solve for x
    x = 70,569,545.39/9,412.92
  6. Step 6: Final answer
    x = 7,497.09

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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.