Home / 21,051.84-31,590-8,569.92

Finding the Fourth Proportional to 21,051.84, 31,590 and 8,569.92

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Solution

The fourth proportional to 21,051.84, 31,590 and 8,569.92 is: 12,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.84 : 31,590 = 8,569.92 : x
  2. Step 2: Convert to fraction form
    21,051.84/31,590 = 8,569.92/x
  3. Step 3: Cross multiply
    21,051.84x = 31,590 × 8,569.92
  4. Step 4: Simplify right side
    21,051.84x = 270,723,772.80
  5. Step 5: Solve for x
    x = 270,723,772.80/21,051.84
  6. Step 6: Final answer
    x = 12,859.86

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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.