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Finding the Fourth Proportional to 15,616.50, 23,421.89 and 4,520.46

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Solution

The fourth proportional to 15,616.50, 23,421.89 and 4,520.46 is: 6,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.50 : 23,421.89 = 4,520.46 : x
  2. Step 2: Convert to fraction form
    15,616.50/23,421.89 = 4,520.46/x
  3. Step 3: Cross multiply
    15,616.50x = 23,421.89 × 4,520.46
  4. Step 4: Simplify right side
    15,616.50x = 105,877,716.87
  5. Step 5: Solve for x
    x = 105,877,716.87/15,616.50
  6. Step 6: Final answer
    x = 6,779.86

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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.