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Finding the Fourth Proportional to 11,454.47, 15,807.17 and 6,978.22

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Solution

The fourth proportional to 11,454.47, 15,807.17 and 6,978.22 is: 9,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.47 : 15,807.17 = 6,978.22 : x
  2. Step 2: Convert to fraction form
    11,454.47/15,807.17 = 6,978.22/x
  3. Step 3: Cross multiply
    11,454.47x = 15,807.17 × 6,978.22
  4. Step 4: Simplify right side
    11,454.47x = 110,305,909.84
  5. Step 5: Solve for x
    x = 110,305,909.84/11,454.47
  6. Step 6: Final answer
    x = 9,629.94

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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.