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Finding the Fourth Proportional to 4,856.76, 7,287.30 and 2,776.68

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Solution

The fourth proportional to 4,856.76, 7,287.30 and 2,776.68 is: 4,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.76 : 7,287.30 = 2,776.68 : x
  2. Step 2: Convert to fraction form
    4,856.76/7,287.30 = 2,776.68/x
  3. Step 3: Cross multiply
    4,856.76x = 7,287.30 × 2,776.68
  4. Step 4: Simplify right side
    4,856.76x = 20,234,500.16
  5. Step 5: Solve for x
    x = 20,234,500.16/4,856.76
  6. Step 6: Final answer
    x = 4,166.25

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1.5x scale

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.