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Finding the Fourth Proportional to 28,509, 42,770.10 and 10,041

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Solution

The fourth proportional to 28,509, 42,770.10 and 10,041 is: 15,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509 : 42,770.10 = 10,041 : x
  2. Step 2: Convert to fraction form
    28,509/42,770.10 = 10,041/x
  3. Step 3: Cross multiply
    28,509x = 42,770.10 × 10,041
  4. Step 4: Simplify right side
    28,509x = 429,454,574.10
  5. Step 5: Solve for x
    x = 429,454,574.10/28,509
  6. Step 6: Final answer
    x = 15,063.82

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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.