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Finding the Fourth Proportional to 6,871.92, 10,320 and 5,117.40

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Solution

The fourth proportional to 6,871.92, 10,320 and 5,117.40 is: 7,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.92 : 10,320 = 5,117.40 : x
  2. Step 2: Convert to fraction form
    6,871.92/10,320 = 5,117.40/x
  3. Step 3: Cross multiply
    6,871.92x = 10,320 × 5,117.40
  4. Step 4: Simplify right side
    6,871.92x = 52,811,568.00
  5. Step 5: Solve for x
    x = 52,811,568.00/6,871.92
  6. Step 6: Final answer
    x = 7,685.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.