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Finding the Fourth Proportional to 6,387.90, 8,823.69 and 5,329.10

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Solution

The fourth proportional to 6,387.90, 8,823.69 and 5,329.10 is: 7,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.90 : 8,823.69 = 5,329.10 : x
  2. Step 2: Convert to fraction form
    6,387.90/8,823.69 = 5,329.10/x
  3. Step 3: Cross multiply
    6,387.90x = 8,823.69 × 5,329.10
  4. Step 4: Simplify right side
    6,387.90x = 47,022,282.26
  5. Step 5: Solve for x
    x = 47,022,282.26/6,387.90
  6. Step 6: Final answer
    x = 7,361.15

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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.