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Finding the Fourth Proportional to 7,151.07, 9,871.83 and 4,794.78

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Solution

The fourth proportional to 7,151.07, 9,871.83 and 4,794.78 is: 6,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.07 : 9,871.83 = 4,794.78 : x
  2. Step 2: Convert to fraction form
    7,151.07/9,871.83 = 4,794.78/x
  3. Step 3: Cross multiply
    7,151.07x = 9,871.83 × 4,794.78
  4. Step 4: Simplify right side
    7,151.07x = 47,333,253.05
  5. Step 5: Solve for x
    x = 47,333,253.05/7,151.07
  6. Step 6: Final answer
    x = 6,619.04

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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.