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Finding the Fourth Proportional to 5,252.24, 7,878.30 and 1,356.56

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Solution

The fourth proportional to 5,252.24, 7,878.30 and 1,356.56 is: 2,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.24 : 7,878.30 = 1,356.56 : x
  2. Step 2: Convert to fraction form
    5,252.24/7,878.30 = 1,356.56/x
  3. Step 3: Cross multiply
    5,252.24x = 7,878.30 × 1,356.56
  4. Step 4: Simplify right side
    5,252.24x = 10,687,386.65
  5. Step 5: Solve for x
    x = 10,687,386.65/5,252.24
  6. Step 6: Final answer
    x = 2,034.82

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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.