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Finding the Fourth Proportional to 21,894.84, 32,847.12 and 6,311.25

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Solution

The fourth proportional to 21,894.84, 32,847.12 and 6,311.25 is: 9,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.84 : 32,847.12 = 6,311.25 : x
  2. Step 2: Convert to fraction form
    21,894.84/32,847.12 = 6,311.25/x
  3. Step 3: Cross multiply
    21,894.84x = 32,847.12 × 6,311.25
  4. Step 4: Simplify right side
    21,894.84x = 207,306,386.10
  5. Step 5: Solve for x
    x = 207,306,386.10/21,894.84
  6. Step 6: Final answer
    x = 9,468.28

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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.