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Finding the Fourth Proportional to 2,878.65, 4,317.84 and 1,491.48

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Solution

The fourth proportional to 2,878.65, 4,317.84 and 1,491.48 is: 2,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.65 : 4,317.84 = 1,491.48 : x
  2. Step 2: Convert to fraction form
    2,878.65/4,317.84 = 1,491.48/x
  3. Step 3: Cross multiply
    2,878.65x = 4,317.84 × 1,491.48
  4. Step 4: Simplify right side
    2,878.65x = 6,439,972.00
  5. Step 5: Solve for x
    x = 6,439,972.00/2,878.65
  6. Step 6: Final answer
    x = 2,237.15

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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.