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Finding the Fourth Proportional to 12,407.90, 17,122.96 and 6,742.68

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Solution

The fourth proportional to 12,407.90, 17,122.96 and 6,742.68 is: 9,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.90 : 17,122.96 = 6,742.68 : x
  2. Step 2: Convert to fraction form
    12,407.90/17,122.96 = 6,742.68/x
  3. Step 3: Cross multiply
    12,407.90x = 17,122.96 × 6,742.68
  4. Step 4: Simplify right side
    12,407.90x = 115,454,639.93
  5. Step 5: Solve for x
    x = 115,454,639.93/12,407.90
  6. Step 6: Final answer
    x = 9,304.93

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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.