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Finding the Fourth Proportional to 28,012, 42,025.20 and 10,482.04

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Solution

The fourth proportional to 28,012, 42,025.20 and 10,482.04 is: 15,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,012 : 42,025.20 = 10,482.04 : x
  2. Step 2: Convert to fraction form
    28,012/42,025.20 = 10,482.04/x
  3. Step 3: Cross multiply
    28,012x = 42,025.20 × 10,482.04
  4. Step 4: Simplify right side
    28,012x = 440,509,827.41
  5. Step 5: Solve for x
    x = 440,509,827.41/28,012
  6. Step 6: Final answer
    x = 15,725.75

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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.