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Finding the Fourth Proportional to 10,602.80, 15,904.20 and 2,811.62

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Solution

The fourth proportional to 10,602.80, 15,904.20 and 2,811.62 is: 4,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.80 : 15,904.20 = 2,811.62 : x
  2. Step 2: Convert to fraction form
    10,602.80/15,904.20 = 2,811.62/x
  3. Step 3: Cross multiply
    10,602.80x = 15,904.20 × 2,811.62
  4. Step 4: Simplify right side
    10,602.80x = 44,716,487.28
  5. Step 5: Solve for x
    x = 44,716,487.28/10,602.80
  6. Step 6: Final answer
    x = 4,217.42

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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.