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Finding the Fourth Proportional to 21,334.86, 32,006.07 and 7,291.62

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Solution

The fourth proportional to 21,334.86, 32,006.07 and 7,291.62 is: 10,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.86 : 32,006.07 = 7,291.62 : x
  2. Step 2: Convert to fraction form
    21,334.86/32,006.07 = 7,291.62/x
  3. Step 3: Cross multiply
    21,334.86x = 32,006.07 × 7,291.62
  4. Step 4: Simplify right side
    21,334.86x = 233,376,100.13
  5. Step 5: Solve for x
    x = 233,376,100.13/21,334.86
  6. Step 6: Final answer
    x = 10,938.72

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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.