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Finding the Fourth Proportional to 21,948, 32,922.39 and 7,156.86

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Solution

The fourth proportional to 21,948, 32,922.39 and 7,156.86 is: 10,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,948 : 32,922.39 = 7,156.86 : x
  2. Step 2: Convert to fraction form
    21,948/32,922.39 = 7,156.86/x
  3. Step 3: Cross multiply
    21,948x = 32,922.39 × 7,156.86
  4. Step 4: Simplify right side
    21,948x = 235,620,936.10
  5. Step 5: Solve for x
    x = 235,620,936.10/21,948
  6. Step 6: Final answer
    x = 10,735.42

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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.