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Finding the Fourth Proportional to 28,330, 42,495.18 and 9,862

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Solution

The fourth proportional to 28,330, 42,495.18 and 9,862 is: 14,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,330 : 42,495.18 = 9,862 : x
  2. Step 2: Convert to fraction form
    28,330/42,495.18 = 9,862/x
  3. Step 3: Cross multiply
    28,330x = 42,495.18 × 9,862
  4. Step 4: Simplify right side
    28,330x = 419,087,465.16
  5. Step 5: Solve for x
    x = 419,087,465.16/28,330
  6. Step 6: Final answer
    x = 14,793.06

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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.