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Finding the Fourth Proportional to 20,340, 30,506.40 and 9,244.08

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Solution

The fourth proportional to 20,340, 30,506.40 and 9,244.08 is: 13,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340 : 30,506.40 = 9,244.08 : x
  2. Step 2: Convert to fraction form
    20,340/30,506.40 = 9,244.08/x
  3. Step 3: Cross multiply
    20,340x = 30,506.40 × 9,244.08
  4. Step 4: Simplify right side
    20,340x = 282,003,602.11
  5. Step 5: Solve for x
    x = 282,003,602.11/20,340
  6. Step 6: Final answer
    x = 13,864.48

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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.