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Finding the Fourth Proportional to 5,643.50, 7,787.94 and 4,449.74

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Solution

The fourth proportional to 5,643.50, 7,787.94 and 4,449.74 is: 6,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.50 : 7,787.94 = 4,449.74 : x
  2. Step 2: Convert to fraction form
    5,643.50/7,787.94 = 4,449.74/x
  3. Step 3: Cross multiply
    5,643.50x = 7,787.94 × 4,449.74
  4. Step 4: Simplify right side
    5,643.50x = 34,654,308.14
  5. Step 5: Solve for x
    x = 34,654,308.14/5,643.50
  6. Step 6: Final answer
    x = 6,140.57

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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.