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Finding the Fourth Proportional to 20,535.34, 30,806.80 and 6,498.90

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Solution

The fourth proportional to 20,535.34, 30,806.80 and 6,498.90 is: 9,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.34 : 30,806.80 = 6,498.90 : x
  2. Step 2: Convert to fraction form
    20,535.34/30,806.80 = 6,498.90/x
  3. Step 3: Cross multiply
    20,535.34x = 30,806.80 × 6,498.90
  4. Step 4: Simplify right side
    20,535.34x = 200,210,312.52
  5. Step 5: Solve for x
    x = 200,210,312.52/20,535.34
  6. Step 6: Final answer
    x = 9,749.55

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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.