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Finding the Fourth Proportional to 20,314.53, 30,471.80 and 6,985.98

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Solution

The fourth proportional to 20,314.53, 30,471.80 and 6,985.98 is: 10,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.53 : 30,471.80 = 6,985.98 : x
  2. Step 2: Convert to fraction form
    20,314.53/30,471.80 = 6,985.98/x
  3. Step 3: Cross multiply
    20,314.53x = 30,471.80 × 6,985.98
  4. Step 4: Simplify right side
    20,314.53x = 212,875,350.43
  5. Step 5: Solve for x
    x = 212,875,350.43/20,314.53
  6. Step 6: Final answer
    x = 10,478.97

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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.