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Finding the Fourth Proportional to 8,642.15, 12,964.02 and 6,696.53

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Solution

The fourth proportional to 8,642.15, 12,964.02 and 6,696.53 is: 10,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.15 : 12,964.02 = 6,696.53 : x
  2. Step 2: Convert to fraction form
    8,642.15/12,964.02 = 6,696.53/x
  3. Step 3: Cross multiply
    8,642.15x = 12,964.02 × 6,696.53
  4. Step 4: Simplify right side
    8,642.15x = 86,813,884.03
  5. Step 5: Solve for x
    x = 86,813,884.03/8,642.15
  6. Step 6: Final answer
    x = 10,045.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.