Home / 1,748.22-2,412.39-1,002

Finding the Fourth Proportional to 1,748.22, 2,412.39 and 1,002

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Solution

The fourth proportional to 1,748.22, 2,412.39 and 1,002 is: 1,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.22 : 2,412.39 = 1,002 : x
  2. Step 2: Convert to fraction form
    1,748.22/2,412.39 = 1,002/x
  3. Step 3: Cross multiply
    1,748.22x = 2,412.39 × 1,002
  4. Step 4: Simplify right side
    1,748.22x = 2,417,214.78
  5. Step 5: Solve for x
    x = 2,417,214.78/1,748.22
  6. Step 6: Final answer
    x = 1,382.67

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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.