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Finding the Fourth Proportional to 20,392, 30,585.12 and 9,298.24

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Solution

The fourth proportional to 20,392, 30,585.12 and 9,298.24 is: 13,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,392 : 30,585.12 = 9,298.24 : x
  2. Step 2: Convert to fraction form
    20,392/30,585.12 = 9,298.24/x
  3. Step 3: Cross multiply
    20,392x = 30,585.12 × 9,298.24
  4. Step 4: Simplify right side
    20,392x = 284,387,786.19
  5. Step 5: Solve for x
    x = 284,387,786.19/20,392
  6. Step 6: Final answer
    x = 13,946.05

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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.