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Finding the Fourth Proportional to 7,641.12, 10,549.78 and 5,290.50

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Solution

The fourth proportional to 7,641.12, 10,549.78 and 5,290.50 is: 7,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.12 : 10,549.78 = 5,290.50 : x
  2. Step 2: Convert to fraction form
    7,641.12/10,549.78 = 5,290.50/x
  3. Step 3: Cross multiply
    7,641.12x = 10,549.78 × 5,290.50
  4. Step 4: Simplify right side
    7,641.12x = 55,813,611.09
  5. Step 5: Solve for x
    x = 55,813,611.09/7,641.12
  6. Step 6: Final answer
    x = 7,304.38

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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.