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Finding the Fourth Proportional to 11,382.69, 15,707.71 and 6,347.12

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Solution

The fourth proportional to 11,382.69, 15,707.71 and 6,347.12 is: 8,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.69 : 15,707.71 = 6,347.12 : x
  2. Step 2: Convert to fraction form
    11,382.69/15,707.71 = 6,347.12/x
  3. Step 3: Cross multiply
    11,382.69x = 15,707.71 × 6,347.12
  4. Step 4: Simplify right side
    11,382.69x = 99,698,720.30
  5. Step 5: Solve for x
    x = 99,698,720.30/11,382.69
  6. Step 6: Final answer
    x = 8,758.80

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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.