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Finding the Fourth Proportional to 10,591.68, 15,888.42 and 2,800.50

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Solution

The fourth proportional to 10,591.68, 15,888.42 and 2,800.50 is: 4,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.68 : 15,888.42 = 2,800.50 : x
  2. Step 2: Convert to fraction form
    10,591.68/15,888.42 = 2,800.50/x
  3. Step 3: Cross multiply
    10,591.68x = 15,888.42 × 2,800.50
  4. Step 4: Simplify right side
    10,591.68x = 44,495,520.21
  5. Step 5: Solve for x
    x = 44,495,520.21/10,591.68
  6. Step 6: Final answer
    x = 4,200.99

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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.