Home / 31,972-47,964.48-13,504

Finding the Fourth Proportional to 31,972, 47,964.48 and 13,504

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Solution

The fourth proportional to 31,972, 47,964.48 and 13,504 is: 20,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972 : 47,964.48 = 13,504 : x
  2. Step 2: Convert to fraction form
    31,972/47,964.48 = 13,504/x
  3. Step 3: Cross multiply
    31,972x = 47,964.48 × 13,504
  4. Step 4: Simplify right side
    31,972x = 647,712,337.92
  5. Step 5: Solve for x
    x = 647,712,337.92/31,972
  6. Step 6: Final answer
    x = 20,258.74

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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.