Home / 31,828.62-47,742.48-9,642.46

Finding the Fourth Proportional to 31,828.62, 47,742.48 and 9,642.46

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Solution

The fourth proportional to 31,828.62, 47,742.48 and 9,642.46 is: 14,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,828.62 : 47,742.48 = 9,642.46 : x
  2. Step 2: Convert to fraction form
    31,828.62/47,742.48 = 9,642.46/x
  3. Step 3: Cross multiply
    31,828.62x = 47,742.48 × 9,642.46
  4. Step 4: Simplify right side
    31,828.62x = 460,354,953.70
  5. Step 5: Solve for x
    x = 460,354,953.70/31,828.62
  6. Step 6: Final answer
    x = 14,463.55

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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.