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Finding the Fourth Proportional to 12,706.76, 17,541.96 and 9,867.76

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Solution

The fourth proportional to 12,706.76, 17,541.96 and 9,867.76 is: 13,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.76 : 17,541.96 = 9,867.76 : x
  2. Step 2: Convert to fraction form
    12,706.76/17,541.96 = 9,867.76/x
  3. Step 3: Cross multiply
    12,706.76x = 17,541.96 × 9,867.76
  4. Step 4: Simplify right side
    12,706.76x = 173,099,825.86
  5. Step 5: Solve for x
    x = 173,099,825.86/12,706.76
  6. Step 6: Final answer
    x = 13,622.66

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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.