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Finding the Fourth Proportional to 20,938.03, 31,400.28 and 6,894.71

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Solution

The fourth proportional to 20,938.03, 31,400.28 and 6,894.71 is: 10,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.03 : 31,400.28 = 6,894.71 : x
  2. Step 2: Convert to fraction form
    20,938.03/31,400.28 = 6,894.71/x
  3. Step 3: Cross multiply
    20,938.03x = 31,400.28 × 6,894.71
  4. Step 4: Simplify right side
    20,938.03x = 216,495,824.52
  5. Step 5: Solve for x
    x = 216,495,824.52/20,938.03
  6. Step 6: Final answer
    x = 10,339.84

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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.