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Finding the Fourth Proportional to 21,540.96, 32,307.36 and 5,746.08

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Solution

The fourth proportional to 21,540.96, 32,307.36 and 5,746.08 is: 8,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,540.96 : 32,307.36 = 5,746.08 : x
  2. Step 2: Convert to fraction form
    21,540.96/32,307.36 = 5,746.08/x
  3. Step 3: Cross multiply
    21,540.96x = 32,307.36 × 5,746.08
  4. Step 4: Simplify right side
    21,540.96x = 185,640,675.15
  5. Step 5: Solve for x
    x = 185,640,675.15/21,540.96
  6. Step 6: Final answer
    x = 8,618.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.