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Finding the Fourth Proportional to 8,782.88, 13,173.16 and 2,458.20

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Solution

The fourth proportional to 8,782.88, 13,173.16 and 2,458.20 is: 3,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.88 : 13,173.16 = 2,458.20 : x
  2. Step 2: Convert to fraction form
    8,782.88/13,173.16 = 2,458.20/x
  3. Step 3: Cross multiply
    8,782.88x = 13,173.16 × 2,458.20
  4. Step 4: Simplify right side
    8,782.88x = 32,382,261.91
  5. Step 5: Solve for x
    x = 32,382,261.91/8,782.88
  6. Step 6: Final answer
    x = 3,686.98

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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.