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Finding the Fourth Proportional to 2,657.64, 3,667.73 and 1,478.73

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Solution

The fourth proportional to 2,657.64, 3,667.73 and 1,478.73 is: 2,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.64 : 3,667.73 = 1,478.73 : x
  2. Step 2: Convert to fraction form
    2,657.64/3,667.73 = 1,478.73/x
  3. Step 3: Cross multiply
    2,657.64x = 3,667.73 × 1,478.73
  4. Step 4: Simplify right side
    2,657.64x = 5,423,574.99
  5. Step 5: Solve for x
    x = 5,423,574.99/2,657.64
  6. Step 6: Final answer
    x = 2,040.75

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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.