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Finding the Fourth Proportional to 7,899, 10,900.85 and 4,542.49

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Solution

The fourth proportional to 7,899, 10,900.85 and 4,542.49 is: 6,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899 : 10,900.85 = 4,542.49 : x
  2. Step 2: Convert to fraction form
    7,899/10,900.85 = 4,542.49/x
  3. Step 3: Cross multiply
    7,899x = 10,900.85 × 4,542.49
  4. Step 4: Simplify right side
    7,899x = 49,517,002.12
  5. Step 5: Solve for x
    x = 49,517,002.12/7,899
  6. Step 6: Final answer
    x = 6,268.77

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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.