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Finding the Fourth Proportional to 8,728.85, 12,046.82 and 5,192.03

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Solution

The fourth proportional to 8,728.85, 12,046.82 and 5,192.03 is: 7,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.85 : 12,046.82 = 5,192.03 : x
  2. Step 2: Convert to fraction form
    8,728.85/12,046.82 = 5,192.03/x
  3. Step 3: Cross multiply
    8,728.85x = 12,046.82 × 5,192.03
  4. Step 4: Simplify right side
    8,728.85x = 62,547,364.65
  5. Step 5: Solve for x
    x = 62,547,364.65/8,728.85
  6. Step 6: Final answer
    x = 7,165.59

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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.