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Finding the Fourth Proportional to 21,899.92, 32,851.32 and 7,858.48

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Solution

The fourth proportional to 21,899.92, 32,851.32 and 7,858.48 is: 11,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899.92 : 32,851.32 = 7,858.48 : x
  2. Step 2: Convert to fraction form
    21,899.92/32,851.32 = 7,858.48/x
  3. Step 3: Cross multiply
    21,899.92x = 32,851.32 × 7,858.48
  4. Step 4: Simplify right side
    21,899.92x = 258,161,441.19
  5. Step 5: Solve for x
    x = 258,161,441.19/21,899.92
  6. Step 6: Final answer
    x = 11,788.24

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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.