Home / 31,776.22-47,664.65-9,589.78

Finding the Fourth Proportional to 31,776.22, 47,664.65 and 9,589.78

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Solution

The fourth proportional to 31,776.22, 47,664.65 and 9,589.78 is: 14,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.22 : 47,664.65 = 9,589.78 : x
  2. Step 2: Convert to fraction form
    31,776.22/47,664.65 = 9,589.78/x
  3. Step 3: Cross multiply
    31,776.22x = 47,664.65 × 9,589.78
  4. Step 4: Simplify right side
    31,776.22x = 457,093,507.28
  5. Step 5: Solve for x
    x = 457,093,507.28/31,776.22
  6. Step 6: Final answer
    x = 14,384.77

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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.