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Finding the Fourth Proportional to 10,602.40, 15,902.88 and 2,811.28

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Solution

The fourth proportional to 10,602.40, 15,902.88 and 2,811.28 is: 4,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.40 : 15,902.88 = 2,811.28 : x
  2. Step 2: Convert to fraction form
    10,602.40/15,902.88 = 2,811.28/x
  3. Step 3: Cross multiply
    10,602.40x = 15,902.88 × 2,811.28
  4. Step 4: Simplify right side
    10,602.40x = 44,707,448.49
  5. Step 5: Solve for x
    x = 44,707,448.49/10,602.40
  6. Step 6: Final answer
    x = 4,216.73

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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.