Home / 1,763.47-2,433.66-977.50

Finding the Fourth Proportional to 1,763.47, 2,433.66 and 977.50

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Solution

The fourth proportional to 1,763.47, 2,433.66 and 977.50 is: 1,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.47 : 2,433.66 = 977.50 : x
  2. Step 2: Convert to fraction form
    1,763.47/2,433.66 = 977.50/x
  3. Step 3: Cross multiply
    1,763.47x = 2,433.66 × 977.50
  4. Step 4: Simplify right side
    1,763.47x = 2,378,902.65
  5. Step 5: Solve for x
    x = 2,378,902.65/1,763.47
  6. Step 6: Final answer
    x = 1,348.99

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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.