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Finding the Fourth Proportional to 5,643.76, 7,781.16 and 4,382.68

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Solution

The fourth proportional to 5,643.76, 7,781.16 and 4,382.68 is: 6,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.76 : 7,781.16 = 4,382.68 : x
  2. Step 2: Convert to fraction form
    5,643.76/7,781.16 = 4,382.68/x
  3. Step 3: Cross multiply
    5,643.76x = 7,781.16 × 4,382.68
  4. Step 4: Simplify right side
    5,643.76x = 34,102,334.31
  5. Step 5: Solve for x
    x = 34,102,334.31/5,643.76
  6. Step 6: Final answer
    x = 6,042.48

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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.