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Finding the Fourth Proportional to 31,921, 47,881.50 and 10,033

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Solution

The fourth proportional to 31,921, 47,881.50 and 10,033 is: 15,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921 : 47,881.50 = 10,033 : x
  2. Step 2: Convert to fraction form
    31,921/47,881.50 = 10,033/x
  3. Step 3: Cross multiply
    31,921x = 47,881.50 × 10,033
  4. Step 4: Simplify right side
    31,921x = 480,395,089.50
  5. Step 5: Solve for x
    x = 480,395,089.50/31,921
  6. Step 6: Final answer
    x = 15,049.50

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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.