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Finding the Fourth Proportional to 7,042.70, 9,718.83 and 4,248.20

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Solution

The fourth proportional to 7,042.70, 9,718.83 and 4,248.20 is: 5,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.70 : 9,718.83 = 4,248.20 : x
  2. Step 2: Convert to fraction form
    7,042.70/9,718.83 = 4,248.20/x
  3. Step 3: Cross multiply
    7,042.70x = 9,718.83 × 4,248.20
  4. Step 4: Simplify right side
    7,042.70x = 41,287,485.01
  5. Step 5: Solve for x
    x = 41,287,485.01/7,042.70
  6. Step 6: Final answer
    x = 5,862.46

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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.