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Finding the Fourth Proportional to 12,643.68, 17,449.08 and 7,607.90

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Solution

The fourth proportional to 12,643.68, 17,449.08 and 7,607.90 is: 10,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.68 : 17,449.08 = 7,607.90 : x
  2. Step 2: Convert to fraction form
    12,643.68/17,449.08 = 7,607.90/x
  3. Step 3: Cross multiply
    12,643.68x = 17,449.08 × 7,607.90
  4. Step 4: Simplify right side
    12,643.68x = 132,750,855.73
  5. Step 5: Solve for x
    x = 132,750,855.73/12,643.68
  6. Step 6: Final answer
    x = 10,499.38

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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.