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Finding the Fourth Proportional to 7,042.68, 10,615.86 and 6,451.11

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Solution

The fourth proportional to 7,042.68, 10,615.86 and 6,451.11 is: 9,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.68 : 10,615.86 = 6,451.11 : x
  2. Step 2: Convert to fraction form
    7,042.68/10,615.86 = 6,451.11/x
  3. Step 3: Cross multiply
    7,042.68x = 10,615.86 × 6,451.11
  4. Step 4: Simplify right side
    7,042.68x = 68,484,080.60
  5. Step 5: Solve for x
    x = 68,484,080.60/7,042.68
  6. Step 6: Final answer
    x = 9,724.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.