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Finding the Fourth Proportional to 20,957.99, 31,436.88 and 5,162.99

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Solution

The fourth proportional to 20,957.99, 31,436.88 and 5,162.99 is: 7,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.99 : 31,436.88 = 5,162.99 : x
  2. Step 2: Convert to fraction form
    20,957.99/31,436.88 = 5,162.99/x
  3. Step 3: Cross multiply
    20,957.99x = 31,436.88 × 5,162.99
  4. Step 4: Simplify right side
    20,957.99x = 162,308,120.53
  5. Step 5: Solve for x
    x = 162,308,120.53/20,957.99
  6. Step 6: Final answer
    x = 7,744.45

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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.