Home / 1,762.20-2,428.92-1,264.05

Finding the Fourth Proportional to 1,762.20, 2,428.92 and 1,264.05

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Solution

The fourth proportional to 1,762.20, 2,428.92 and 1,264.05 is: 1,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.20 : 2,428.92 = 1,264.05 : x
  2. Step 2: Convert to fraction form
    1,762.20/2,428.92 = 1,264.05/x
  3. Step 3: Cross multiply
    1,762.20x = 2,428.92 × 1,264.05
  4. Step 4: Simplify right side
    1,762.20x = 3,070,276.33
  5. Step 5: Solve for x
    x = 3,070,276.33/1,762.20
  6. Step 6: Final answer
    x = 1,742.30

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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.