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Finding the Fourth Proportional to 14,517.64, 21,780.72 and 4,656.72

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Solution

The fourth proportional to 14,517.64, 21,780.72 and 4,656.72 is: 6,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.64 : 21,780.72 = 4,656.72 : x
  2. Step 2: Convert to fraction form
    14,517.64/21,780.72 = 4,656.72/x
  3. Step 3: Cross multiply
    14,517.64x = 21,780.72 × 4,656.72
  4. Step 4: Simplify right side
    14,517.64x = 101,426,714.44
  5. Step 5: Solve for x
    x = 101,426,714.44/14,517.64
  6. Step 6: Final answer
    x = 6,986.45

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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.