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Finding the Fourth Proportional to 28,370, 42,574.44 and 9,902

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Solution

The fourth proportional to 28,370, 42,574.44 and 9,902 is: 14,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,370 : 42,574.44 = 9,902 : x
  2. Step 2: Convert to fraction form
    28,370/42,574.44 = 9,902/x
  3. Step 3: Cross multiply
    28,370x = 42,574.44 × 9,902
  4. Step 4: Simplify right side
    28,370x = 421,572,104.88
  5. Step 5: Solve for x
    x = 421,572,104.88/28,370
  6. Step 6: Final answer
    x = 14,859.79

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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.