Home / 21,184-31,778.16-7,332.96

Finding the Fourth Proportional to 21,184, 31,778.16 and 7,332.96

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Solution

The fourth proportional to 21,184, 31,778.16 and 7,332.96 is: 11,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184 : 31,778.16 = 7,332.96 : x
  2. Step 2: Convert to fraction form
    21,184/31,778.16 = 7,332.96/x
  3. Step 3: Cross multiply
    21,184x = 31,778.16 × 7,332.96
  4. Step 4: Simplify right side
    21,184x = 233,027,976.15
  5. Step 5: Solve for x
    x = 233,027,976.15/21,184
  6. Step 6: Final answer
    x = 11,000.19

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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.