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Finding the Fourth Proportional to 2,856.86, 4,281.87 and 1,470.86

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Solution

The fourth proportional to 2,856.86, 4,281.87 and 1,470.86 is: 2,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.86 : 4,281.87 = 1,470.86 : x
  2. Step 2: Convert to fraction form
    2,856.86/4,281.87 = 1,470.86/x
  3. Step 3: Cross multiply
    2,856.86x = 4,281.87 × 1,470.86
  4. Step 4: Simplify right side
    2,856.86x = 6,298,013.25
  5. Step 5: Solve for x
    x = 6,298,013.25/2,856.86
  6. Step 6: Final answer
    x = 2,204.52

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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.