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Finding the Fourth Proportional to 12,649, 17,455.80 and 7,060

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Solution

The fourth proportional to 12,649, 17,455.80 and 7,060 is: 9,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649 : 17,455.80 = 7,060 : x
  2. Step 2: Convert to fraction form
    12,649/17,455.80 = 7,060/x
  3. Step 3: Cross multiply
    12,649x = 17,455.80 × 7,060
  4. Step 4: Simplify right side
    12,649x = 123,237,948
  5. Step 5: Solve for x
    x = 123,237,948/12,649
  6. Step 6: Final answer
    x = 9,742.90

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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.