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Finding the Fourth Proportional to 31,995.64, 47,895.03 and 20,878.39

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Solution

The fourth proportional to 31,995.64, 47,895.03 and 20,878.39 is: 31,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995.64 : 47,895.03 = 20,878.39 : x
  2. Step 2: Convert to fraction form
    31,995.64/47,895.03 = 20,878.39/x
  3. Step 3: Cross multiply
    31,995.64x = 47,895.03 × 20,878.39
  4. Step 4: Simplify right side
    31,995.64x = 999,970,875.93
  5. Step 5: Solve for x
    x = 999,970,875.93/31,995.64
  6. Step 6: Final answer
    x = 31,253.35

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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.