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Finding the Fourth Proportional to 8,646.28, 11,986.85 and 8,342.22

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Solution

The fourth proportional to 8,646.28, 11,986.85 and 8,342.22 is: 11,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.28 : 11,986.85 = 8,342.22 : x
  2. Step 2: Convert to fraction form
    8,646.28/11,986.85 = 8,342.22/x
  3. Step 3: Cross multiply
    8,646.28x = 11,986.85 × 8,342.22
  4. Step 4: Simplify right side
    8,646.28x = 99,997,005.61
  5. Step 5: Solve for x
    x = 99,997,005.61/8,646.28
  6. Step 6: Final answer
    x = 11,565.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.