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Finding the Fourth Proportional to 12,651.76, 17,459.34 and 6,986.86

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Solution

The fourth proportional to 12,651.76, 17,459.34 and 6,986.86 is: 9,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.76 : 17,459.34 = 6,986.86 : x
  2. Step 2: Convert to fraction form
    12,651.76/17,459.34 = 6,986.86/x
  3. Step 3: Cross multiply
    12,651.76x = 17,459.34 × 6,986.86
  4. Step 4: Simplify right side
    12,651.76x = 121,985,964.27
  5. Step 5: Solve for x
    x = 121,985,964.27/12,651.76
  6. Step 6: Final answer
    x = 9,641.82

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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.