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Finding the Fourth Proportional to 2,659.86, 3,678.48 and 2,327.76

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Solution

The fourth proportional to 2,659.86, 3,678.48 and 2,327.76 is: 3,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.86 : 3,678.48 = 2,327.76 : x
  2. Step 2: Convert to fraction form
    2,659.86/3,678.48 = 2,327.76/x
  3. Step 3: Cross multiply
    2,659.86x = 3,678.48 × 2,327.76
  4. Step 4: Simplify right side
    2,659.86x = 8,562,618.60
  5. Step 5: Solve for x
    x = 8,562,618.60/2,659.86
  6. Step 6: Final answer
    x = 3,219.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.