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Finding the Fourth Proportional to 31,822.80, 47,701.80 and 18,668.40

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Solution

The fourth proportional to 31,822.80, 47,701.80 and 18,668.40 is: 27,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,822.80 : 47,701.80 = 18,668.40 : x
  2. Step 2: Convert to fraction form
    31,822.80/47,701.80 = 18,668.40/x
  3. Step 3: Cross multiply
    31,822.80x = 47,701.80 × 18,668.40
  4. Step 4: Simplify right side
    31,822.80x = 890,516,283.12
  5. Step 5: Solve for x
    x = 890,516,283.12/31,822.80
  6. Step 6: Final answer
    x = 27,983.59

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1.5x scale

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.