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Finding the Fourth Proportional to 2,878.79, 4,319.10 and 1,029.86

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Solution

The fourth proportional to 2,878.79, 4,319.10 and 1,029.86 is: 1,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.79 : 4,319.10 = 1,029.86 : x
  2. Step 2: Convert to fraction form
    2,878.79/4,319.10 = 1,029.86/x
  3. Step 3: Cross multiply
    2,878.79x = 4,319.10 × 1,029.86
  4. Step 4: Simplify right side
    2,878.79x = 4,448,063.18
  5. Step 5: Solve for x
    x = 4,448,063.18/2,878.79
  6. Step 6: Final answer
    x = 1,545.12

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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.