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Finding the Fourth Proportional to 1,666.24, 2,502.22 and 1,378.24

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Solution

The fourth proportional to 1,666.24, 2,502.22 and 1,378.24 is: 2,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.24 : 2,502.22 = 1,378.24 : x
  2. Step 2: Convert to fraction form
    1,666.24/2,502.22 = 1,378.24/x
  3. Step 3: Cross multiply
    1,666.24x = 2,502.22 × 1,378.24
  4. Step 4: Simplify right side
    1,666.24x = 3,448,659.69
  5. Step 5: Solve for x
    x = 3,448,659.69/1,666.24
  6. Step 6: Final answer
    x = 2,069.73

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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.