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Finding the Fourth Proportional to 8,718.31, 13,079.52 and 6,946.10

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Solution

The fourth proportional to 8,718.31, 13,079.52 and 6,946.10 is: 10,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,718.31 : 13,079.52 = 6,946.10 : x
  2. Step 2: Convert to fraction form
    8,718.31/13,079.52 = 6,946.10/x
  3. Step 3: Cross multiply
    8,718.31x = 13,079.52 × 6,946.10
  4. Step 4: Simplify right side
    8,718.31x = 90,851,588.47
  5. Step 5: Solve for x
    x = 90,851,588.47/8,718.31
  6. Step 6: Final answer
    x = 10,420.78

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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.