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Finding the Fourth Proportional to 7,763.80, 10,714.78 and 4,781.38

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Solution

The fourth proportional to 7,763.80, 10,714.78 and 4,781.38 is: 6,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.80 : 10,714.78 = 4,781.38 : x
  2. Step 2: Convert to fraction form
    7,763.80/10,714.78 = 4,781.38/x
  3. Step 3: Cross multiply
    7,763.80x = 10,714.78 × 4,781.38
  4. Step 4: Simplify right side
    7,763.80x = 51,231,434.80
  5. Step 5: Solve for x
    x = 51,231,434.80/7,763.80
  6. Step 6: Final answer
    x = 6,598.76

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1.5x scale

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.