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Finding the Fourth Proportional to 20,463.64, 30,689.40 and 8,774.08

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Solution

The fourth proportional to 20,463.64, 30,689.40 and 8,774.08 is: 13,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,463.64 : 30,689.40 = 8,774.08 : x
  2. Step 2: Convert to fraction form
    20,463.64/30,689.40 = 8,774.08/x
  3. Step 3: Cross multiply
    20,463.64x = 30,689.40 × 8,774.08
  4. Step 4: Simplify right side
    20,463.64x = 269,271,250.75
  5. Step 5: Solve for x
    x = 269,271,250.75/20,463.64
  6. Step 6: Final answer
    x = 13,158.52

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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.