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Finding the Fourth Proportional to 12,679.93, 17,490 and 7,640.74

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Solution

The fourth proportional to 12,679.93, 17,490 and 7,640.74 is: 10,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.93 : 17,490 = 7,640.74 : x
  2. Step 2: Convert to fraction form
    12,679.93/17,490 = 7,640.74/x
  3. Step 3: Cross multiply
    12,679.93x = 17,490 × 7,640.74
  4. Step 4: Simplify right side
    12,679.93x = 133,636,542.60
  5. Step 5: Solve for x
    x = 133,636,542.60/12,679.93
  6. Step 6: Final answer
    x = 10,539.22

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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.