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Finding the Fourth Proportional to 31,804.78, 47,708.20 and 16,001.20

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Solution

The fourth proportional to 31,804.78, 47,708.20 and 16,001.20 is: 24,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.78 : 47,708.20 = 16,001.20 : x
  2. Step 2: Convert to fraction form
    31,804.78/47,708.20 = 16,001.20/x
  3. Step 3: Cross multiply
    31,804.78x = 47,708.20 × 16,001.20
  4. Step 4: Simplify right side
    31,804.78x = 763,388,449.84
  5. Step 5: Solve for x
    x = 763,388,449.84/31,804.78
  6. Step 6: Final answer
    x = 24,002.32

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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.