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Finding the Fourth Proportional to 9,381.17, 12,946.03 and 5,347.87

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Solution

The fourth proportional to 9,381.17, 12,946.03 and 5,347.87 is: 7,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.17 : 12,946.03 = 5,347.87 : x
  2. Step 2: Convert to fraction form
    9,381.17/12,946.03 = 5,347.87/x
  3. Step 3: Cross multiply
    9,381.17x = 12,946.03 × 5,347.87
  4. Step 4: Simplify right side
    9,381.17x = 69,233,712.54
  5. Step 5: Solve for x
    x = 69,233,712.54/9,381.17
  6. Step 6: Final answer
    x = 7,380.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.