Home / 1,763.63-2,433.74-977.66

Finding the Fourth Proportional to 1,763.63, 2,433.74 and 977.66

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Solution

The fourth proportional to 1,763.63, 2,433.74 and 977.66 is: 1,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.63 : 2,433.74 = 977.66 : x
  2. Step 2: Convert to fraction form
    1,763.63/2,433.74 = 977.66/x
  3. Step 3: Cross multiply
    1,763.63x = 2,433.74 × 977.66
  4. Step 4: Simplify right side
    1,763.63x = 2,379,370.25
  5. Step 5: Solve for x
    x = 2,379,370.25/1,763.63
  6. Step 6: Final answer
    x = 1,349.13

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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.