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Finding the Fourth Proportional to 7,807.74, 10,780.02 and 5,791.68

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Solution

The fourth proportional to 7,807.74, 10,780.02 and 5,791.68 is: 7,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.74 : 10,780.02 = 5,791.68 : x
  2. Step 2: Convert to fraction form
    7,807.74/10,780.02 = 5,791.68/x
  3. Step 3: Cross multiply
    7,807.74x = 10,780.02 × 5,791.68
  4. Step 4: Simplify right side
    7,807.74x = 62,434,426.23
  5. Step 5: Solve for x
    x = 62,434,426.23/7,807.74
  6. Step 6: Final answer
    x = 7,996.48

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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.