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Finding the Fourth Proportional to 10,718.86, 16,065.88 and 6,340

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Solution

The fourth proportional to 10,718.86, 16,065.88 and 6,340 is: 9,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.86 : 16,065.88 = 6,340 : x
  2. Step 2: Convert to fraction form
    10,718.86/16,065.88 = 6,340/x
  3. Step 3: Cross multiply
    10,718.86x = 16,065.88 × 6,340
  4. Step 4: Simplify right side
    10,718.86x = 101,857,679.20
  5. Step 5: Solve for x
    x = 101,857,679.20/10,718.86
  6. Step 6: Final answer
    x = 9,502.66

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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.