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Finding the Fourth Proportional to 21,356.86, 32,013 and 7,312.75

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Solution

The fourth proportional to 21,356.86, 32,013 and 7,312.75 is: 10,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.86 : 32,013 = 7,312.75 : x
  2. Step 2: Convert to fraction form
    21,356.86/32,013 = 7,312.75/x
  3. Step 3: Cross multiply
    21,356.86x = 32,013 × 7,312.75
  4. Step 4: Simplify right side
    21,356.86x = 234,103,065.75
  5. Step 5: Solve for x
    x = 234,103,065.75/21,356.86
  6. Step 6: Final answer
    x = 10,961.49

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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.