Home / 1,757.26-2,424.90-971.20

Finding the Fourth Proportional to 1,757.26, 2,424.90 and 971.20

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Solution

The fourth proportional to 1,757.26, 2,424.90 and 971.20 is: 1,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.26 : 2,424.90 = 971.20 : x
  2. Step 2: Convert to fraction form
    1,757.26/2,424.90 = 971.20/x
  3. Step 3: Cross multiply
    1,757.26x = 2,424.90 × 971.20
  4. Step 4: Simplify right side
    1,757.26x = 2,355,062.88
  5. Step 5: Solve for x
    x = 2,355,062.88/1,757.26
  6. Step 6: Final answer
    x = 1,340.19

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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.