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Finding the Fourth Proportional to 7,042.56, 9,718.58 and 3,855.77

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Solution

The fourth proportional to 7,042.56, 9,718.58 and 3,855.77 is: 5,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.56 : 9,718.58 = 3,855.77 : x
  2. Step 2: Convert to fraction form
    7,042.56/9,718.58 = 3,855.77/x
  3. Step 3: Cross multiply
    7,042.56x = 9,718.58 × 3,855.77
  4. Step 4: Simplify right side
    7,042.56x = 37,472,643.14
  5. Step 5: Solve for x
    x = 37,472,643.14/7,042.56
  6. Step 6: Final answer
    x = 5,320.88

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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.