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Finding the Fourth Proportional to 8,642.04, 11,913.24 and 6,116.28

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Solution

The fourth proportional to 8,642.04, 11,913.24 and 6,116.28 is: 8,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.04 : 11,913.24 = 6,116.28 : x
  2. Step 2: Convert to fraction form
    8,642.04/11,913.24 = 6,116.28/x
  3. Step 3: Cross multiply
    8,642.04x = 11,913.24 × 6,116.28
  4. Step 4: Simplify right side
    8,642.04x = 72,864,711.55
  5. Step 5: Solve for x
    x = 72,864,711.55/8,642.04
  6. Step 6: Final answer
    x = 8,431.42

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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.