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Finding the Fourth Proportional to 2,856.75, 4,285.20 and 776.74

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Solution

The fourth proportional to 2,856.75, 4,285.20 and 776.74 is: 1,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.75 : 4,285.20 = 776.74 : x
  2. Step 2: Convert to fraction form
    2,856.75/4,285.20 = 776.74/x
  3. Step 3: Cross multiply
    2,856.75x = 4,285.20 × 776.74
  4. Step 4: Simplify right side
    2,856.75x = 3,328,486.48
  5. Step 5: Solve for x
    x = 3,328,486.48/2,856.75
  6. Step 6: Final answer
    x = 1,165.13

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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.