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Finding the Fourth Proportional to 7,042.68, 9,718.74 and 3,899.16

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Solution

The fourth proportional to 7,042.68, 9,718.74 and 3,899.16 is: 5,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.68 : 9,718.74 = 3,899.16 : x
  2. Step 2: Convert to fraction form
    7,042.68/9,718.74 = 3,899.16/x
  3. Step 3: Cross multiply
    7,042.68x = 9,718.74 × 3,899.16
  4. Step 4: Simplify right side
    7,042.68x = 37,894,922.26
  5. Step 5: Solve for x
    x = 37,894,922.26/7,042.68
  6. Step 6: Final answer
    x = 5,380.75

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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.