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Finding the Fourth Proportional to 11,491.47, 15,857.98 and 6,386.65

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Solution

The fourth proportional to 11,491.47, 15,857.98 and 6,386.65 is: 8,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.47 : 15,857.98 = 6,386.65 : x
  2. Step 2: Convert to fraction form
    11,491.47/15,857.98 = 6,386.65/x
  3. Step 3: Cross multiply
    11,491.47x = 15,857.98 × 6,386.65
  4. Step 4: Simplify right side
    11,491.47x = 101,279,312.36
  5. Step 5: Solve for x
    x = 101,279,312.36/11,491.47
  6. Step 6: Final answer
    x = 8,813.43

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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.