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Finding the Fourth Proportional to 12,578, 17,358.18 and 6,989

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Solution

The fourth proportional to 12,578, 17,358.18 and 6,989 is: 9,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578 : 17,358.18 = 6,989 : x
  2. Step 2: Convert to fraction form
    12,578/17,358.18 = 6,989/x
  3. Step 3: Cross multiply
    12,578x = 17,358.18 × 6,989
  4. Step 4: Simplify right side
    12,578x = 121,316,320.02
  5. Step 5: Solve for x
    x = 121,316,320.02/12,578
  6. Step 6: Final answer
    x = 9,645.12

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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.