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Finding the Fourth Proportional to 20,475.52, 30,713.28 and 6,435.48

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Solution

The fourth proportional to 20,475.52, 30,713.28 and 6,435.48 is: 9,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.52 : 30,713.28 = 6,435.48 : x
  2. Step 2: Convert to fraction form
    20,475.52/30,713.28 = 6,435.48/x
  3. Step 3: Cross multiply
    20,475.52x = 30,713.28 × 6,435.48
  4. Step 4: Simplify right side
    20,475.52x = 197,654,699.17
  5. Step 5: Solve for x
    x = 197,654,699.17/20,475.52
  6. Step 6: Final answer
    x = 9,653.22

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1.5x scale

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.