Home / 31,564-47,367.60-20,443.04

Finding the Fourth Proportional to 31,564, 47,367.60 and 20,443.04

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Solution

The fourth proportional to 31,564, 47,367.60 and 20,443.04 is: 30,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564 : 47,367.60 = 20,443.04 : x
  2. Step 2: Convert to fraction form
    31,564/47,367.60 = 20,443.04/x
  3. Step 3: Cross multiply
    31,564x = 47,367.60 × 20,443.04
  4. Step 4: Simplify right side
    31,564x = 968,337,741.50
  5. Step 5: Solve for x
    x = 968,337,741.50/31,564
  6. Step 6: Final answer
    x = 30,678.55

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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.