Home / 20,782-31,191.72-14,102.32

Finding the Fourth Proportional to 20,782, 31,191.72 and 14,102.32

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Solution

The fourth proportional to 20,782, 31,191.72 and 14,102.32 is: 21,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782 : 31,191.72 = 14,102.32 : x
  2. Step 2: Convert to fraction form
    20,782/31,191.72 = 14,102.32/x
  3. Step 3: Cross multiply
    20,782x = 31,191.72 × 14,102.32
  4. Step 4: Simplify right side
    20,782x = 439,875,616.79
  5. Step 5: Solve for x
    x = 439,875,616.79/20,782
  6. Step 6: Final answer
    x = 21,166.18

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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.