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Finding the Fourth Proportional to 2,657.60, 3,667.60 and 1,478.66

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Solution

The fourth proportional to 2,657.60, 3,667.60 and 1,478.66 is: 2,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.60 : 3,667.60 = 1,478.66 : x
  2. Step 2: Convert to fraction form
    2,657.60/3,667.60 = 1,478.66/x
  3. Step 3: Cross multiply
    2,657.60x = 3,667.60 × 1,478.66
  4. Step 4: Simplify right side
    2,657.60x = 5,423,133.42
  5. Step 5: Solve for x
    x = 5,423,133.42/2,657.60
  6. Step 6: Final answer
    x = 2,040.61

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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.