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Finding the Fourth Proportional to 31,708.80, 47,530.80 and 18,554.40

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Solution

The fourth proportional to 31,708.80, 47,530.80 and 18,554.40 is: 27,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.80 : 47,530.80 = 18,554.40 : x
  2. Step 2: Convert to fraction form
    31,708.80/47,530.80 = 18,554.40/x
  3. Step 3: Cross multiply
    31,708.80x = 47,530.80 × 18,554.40
  4. Step 4: Simplify right side
    31,708.80x = 881,905,475.52
  5. Step 5: Solve for x
    x = 881,905,475.52/31,708.80
  6. Step 6: Final answer
    x = 27,812.64

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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.