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Finding the Fourth Proportional to 34,402.70, 47,478.48 and 20,258.30

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Solution

The fourth proportional to 34,402.70, 47,478.48 and 20,258.30 is: 27,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402.70 : 47,478.48 = 20,258.30 : x
  2. Step 2: Convert to fraction form
    34,402.70/47,478.48 = 20,258.30/x
  3. Step 3: Cross multiply
    34,402.70x = 47,478.48 × 20,258.30
  4. Step 4: Simplify right side
    34,402.70x = 961,833,291.38
  5. Step 5: Solve for x
    x = 961,833,291.38/34,402.70
  6. Step 6: Final answer
    x = 27,958.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.