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Finding the Fourth Proportional to 12,642.64, 18,970.36 and 8,530

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Solution

The fourth proportional to 12,642.64, 18,970.36 and 8,530 is: 12,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.64 : 18,970.36 = 8,530 : x
  2. Step 2: Convert to fraction form
    12,642.64/18,970.36 = 8,530/x
  3. Step 3: Cross multiply
    12,642.64x = 18,970.36 × 8,530
  4. Step 4: Simplify right side
    12,642.64x = 161,817,170.80
  5. Step 5: Solve for x
    x = 161,817,170.80/12,642.64
  6. Step 6: Final answer
    x = 12,799.32

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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.