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Finding the Fourth Proportional to 8,948.83, 12,345.33 and 5,760.98

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Solution

The fourth proportional to 8,948.83, 12,345.33 and 5,760.98 is: 7,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.83 : 12,345.33 = 5,760.98 : x
  2. Step 2: Convert to fraction form
    8,948.83/12,345.33 = 5,760.98/x
  3. Step 3: Cross multiply
    8,948.83x = 12,345.33 × 5,760.98
  4. Step 4: Simplify right side
    8,948.83x = 71,121,170.42
  5. Step 5: Solve for x
    x = 71,121,170.42/8,948.83
  6. Step 6: Final answer
    x = 7,947.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.