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Finding the Fourth Proportional to 7,800.38, 10,771.71 and 5,010.74

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Solution

The fourth proportional to 7,800.38, 10,771.71 and 5,010.74 is: 6,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.38 : 10,771.71 = 5,010.74 : x
  2. Step 2: Convert to fraction form
    7,800.38/10,771.71 = 5,010.74/x
  3. Step 3: Cross multiply
    7,800.38x = 10,771.71 × 5,010.74
  4. Step 4: Simplify right side
    7,800.38x = 53,974,238.17
  5. Step 5: Solve for x
    x = 53,974,238.17/7,800.38
  6. Step 6: Final answer
    x = 6,919.44

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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.