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Finding the Fourth Proportional to 28,405.80, 42,572.70 and 10,852.20

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Solution

The fourth proportional to 28,405.80, 42,572.70 and 10,852.20 is: 16,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,405.80 : 42,572.70 = 10,852.20 : x
  2. Step 2: Convert to fraction form
    28,405.80/42,572.70 = 10,852.20/x
  3. Step 3: Cross multiply
    28,405.80x = 42,572.70 × 10,852.20
  4. Step 4: Simplify right side
    28,405.80x = 462,007,454.94
  5. Step 5: Solve for x
    x = 462,007,454.94/28,405.80
  6. Step 6: Final answer
    x = 16,264.55

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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.