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Finding the Fourth Proportional to 20,285.70, 30,407.68 and 9,739.90

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Solution

The fourth proportional to 20,285.70, 30,407.68 and 9,739.90 is: 14,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.70 : 30,407.68 = 9,739.90 : x
  2. Step 2: Convert to fraction form
    20,285.70/30,407.68 = 9,739.90/x
  3. Step 3: Cross multiply
    20,285.70x = 30,407.68 × 9,739.90
  4. Step 4: Simplify right side
    20,285.70x = 296,167,762.43
  5. Step 5: Solve for x
    x = 296,167,762.43/20,285.70
  6. Step 6: Final answer
    x = 14,599.83

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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.