Home / 1,763.16-2,433.08-977.20

Finding the Fourth Proportional to 1,763.16, 2,433.08 and 977.20

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Solution

The fourth proportional to 1,763.16, 2,433.08 and 977.20 is: 1,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.16 : 2,433.08 = 977.20 : x
  2. Step 2: Convert to fraction form
    1,763.16/2,433.08 = 977.20/x
  3. Step 3: Cross multiply
    1,763.16x = 2,433.08 × 977.20
  4. Step 4: Simplify right side
    1,763.16x = 2,377,605.78
  5. Step 5: Solve for x
    x = 2,377,605.78/1,763.16
  6. Step 6: Final answer
    x = 1,348.49

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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.