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Finding the Fourth Proportional to 20,530.53, 30,774.78 and 9,445.28

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Solution

The fourth proportional to 20,530.53, 30,774.78 and 9,445.28 is: 14,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.53 : 30,774.78 = 9,445.28 : x
  2. Step 2: Convert to fraction form
    20,530.53/30,774.78 = 9,445.28/x
  3. Step 3: Cross multiply
    20,530.53x = 30,774.78 × 9,445.28
  4. Step 4: Simplify right side
    20,530.53x = 290,676,260.16
  5. Step 5: Solve for x
    x = 290,676,260.16/20,530.53
  6. Step 6: Final answer
    x = 14,158.24

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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.