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Finding the Fourth Proportional to 20,654.10, 30,971.48 and 7,504.74

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Solution

The fourth proportional to 20,654.10, 30,971.48 and 7,504.74 is: 11,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.10 : 30,971.48 = 7,504.74 : x
  2. Step 2: Convert to fraction form
    20,654.10/30,971.48 = 7,504.74/x
  3. Step 3: Cross multiply
    20,654.10x = 30,971.48 × 7,504.74
  4. Step 4: Simplify right side
    20,654.10x = 232,432,867.29
  5. Step 5: Solve for x
    x = 232,432,867.29/20,654.10
  6. Step 6: Final answer
    x = 11,253.59

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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.