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Finding the Fourth Proportional to 20,101.68, 30,148.29 and 12,964.54

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Solution

The fourth proportional to 20,101.68, 30,148.29 and 12,964.54 is: 19,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.68 : 30,148.29 = 12,964.54 : x
  2. Step 2: Convert to fraction form
    20,101.68/30,148.29 = 12,964.54/x
  3. Step 3: Cross multiply
    20,101.68x = 30,148.29 × 12,964.54
  4. Step 4: Simplify right side
    20,101.68x = 390,858,679.23
  5. Step 5: Solve for x
    x = 390,858,679.23/20,101.68
  6. Step 6: Final answer
    x = 19,444.08

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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.