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Finding the Fourth Proportional to 21,881.74, 32,829.50 and 7,832.19

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Solution

The fourth proportional to 21,881.74, 32,829.50 and 7,832.19 is: 11,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.74 : 32,829.50 = 7,832.19 : x
  2. Step 2: Convert to fraction form
    21,881.74/32,829.50 = 7,832.19/x
  3. Step 3: Cross multiply
    21,881.74x = 32,829.50 × 7,832.19
  4. Step 4: Simplify right side
    21,881.74x = 257,126,881.61
  5. Step 5: Solve for x
    x = 257,126,881.61/21,881.74
  6. Step 6: Final answer
    x = 11,750.75

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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.