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Finding the Fourth Proportional to 3,565.49, 4,919.74 and 2,148.80

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Solution

The fourth proportional to 3,565.49, 4,919.74 and 2,148.80 is: 2,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.49 : 4,919.74 = 2,148.80 : x
  2. Step 2: Convert to fraction form
    3,565.49/4,919.74 = 2,148.80/x
  3. Step 3: Cross multiply
    3,565.49x = 4,919.74 × 2,148.80
  4. Step 4: Simplify right side
    3,565.49x = 10,571,507.34
  5. Step 5: Solve for x
    x = 10,571,507.34/3,565.49
  6. Step 6: Final answer
    x = 2,964.96

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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.