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Finding the Fourth Proportional to 20,898.68, 31,353.42 and 7,754.80

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Solution

The fourth proportional to 20,898.68, 31,353.42 and 7,754.80 is: 11,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.68 : 31,353.42 = 7,754.80 : x
  2. Step 2: Convert to fraction form
    20,898.68/31,353.42 = 7,754.80/x
  3. Step 3: Cross multiply
    20,898.68x = 31,353.42 × 7,754.80
  4. Step 4: Simplify right side
    20,898.68x = 243,139,501.42
  5. Step 5: Solve for x
    x = 243,139,501.42/20,898.68
  6. Step 6: Final answer
    x = 11,634.20

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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.