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Finding the Fourth Proportional to 20,957.86, 31,440.04 and 9,865.72

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Solution

The fourth proportional to 20,957.86, 31,440.04 and 9,865.72 is: 14,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.86 : 31,440.04 = 9,865.72 : x
  2. Step 2: Convert to fraction form
    20,957.86/31,440.04 = 9,865.72/x
  3. Step 3: Cross multiply
    20,957.86x = 31,440.04 × 9,865.72
  4. Step 4: Simplify right side
    20,957.86x = 310,178,631.43
  5. Step 5: Solve for x
    x = 310,178,631.43/20,957.86
  6. Step 6: Final answer
    x = 14,800.11

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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.