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Finding the Fourth Proportional to 11,470.68, 15,828.22 and 6,434.92

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Solution

The fourth proportional to 11,470.68, 15,828.22 and 6,434.92 is: 8,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.68 : 15,828.22 = 6,434.92 : x
  2. Step 2: Convert to fraction form
    11,470.68/15,828.22 = 6,434.92/x
  3. Step 3: Cross multiply
    11,470.68x = 15,828.22 × 6,434.92
  4. Step 4: Simplify right side
    11,470.68x = 101,853,329.44
  5. Step 5: Solve for x
    x = 101,853,329.44/11,470.68
  6. Step 6: Final answer
    x = 8,879.45

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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.