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Finding the Fourth Proportional to 12,651.76, 17,459.10 and 6,986.92

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Solution

The fourth proportional to 12,651.76, 17,459.10 and 6,986.92 is: 9,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.76 : 17,459.10 = 6,986.92 : x
  2. Step 2: Convert to fraction form
    12,651.76/17,459.10 = 6,986.92/x
  3. Step 3: Cross multiply
    12,651.76x = 17,459.10 × 6,986.92
  4. Step 4: Simplify right side
    12,651.76x = 121,985,334.97
  5. Step 5: Solve for x
    x = 121,985,334.97/12,651.76
  6. Step 6: Final answer
    x = 9,641.77

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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.