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Finding the Fourth Proportional to 11,387, 15,716.94 and 6,421.88

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Solution

The fourth proportional to 11,387, 15,716.94 and 6,421.88 is: 8,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387 : 15,716.94 = 6,421.88 : x
  2. Step 2: Convert to fraction form
    11,387/15,716.94 = 6,421.88/x
  3. Step 3: Cross multiply
    11,387x = 15,716.94 × 6,421.88
  4. Step 4: Simplify right side
    11,387x = 100,932,302.65
  5. Step 5: Solve for x
    x = 100,932,302.65/11,387
  6. Step 6: Final answer
    x = 8,863.82

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1.5x scale

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.