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Finding the Fourth Proportional to 8,577.53, 12,868.90 and 4,078.00

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Solution

The fourth proportional to 8,577.53, 12,868.90 and 4,078.00 is: 6,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.53 : 12,868.90 = 4,078.00 : x
  2. Step 2: Convert to fraction form
    8,577.53/12,868.90 = 4,078.00/x
  3. Step 3: Cross multiply
    8,577.53x = 12,868.90 × 4,078.00
  4. Step 4: Simplify right side
    8,577.53x = 52,479,331.83
  5. Step 5: Solve for x
    x = 52,479,331.83/8,577.53
  6. Step 6: Final answer
    x = 6,118.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.