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Finding the Fourth Proportional to 7,851.85, 11,766.84 and 5,901.78

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Solution

The fourth proportional to 7,851.85, 11,766.84 and 5,901.78 is: 8,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.85 : 11,766.84 = 5,901.78 : x
  2. Step 2: Convert to fraction form
    7,851.85/11,766.84 = 5,901.78/x
  3. Step 3: Cross multiply
    7,851.85x = 11,766.84 × 5,901.78
  4. Step 4: Simplify right side
    7,851.85x = 69,445,300.98
  5. Step 5: Solve for x
    x = 69,445,300.98/7,851.85
  6. Step 6: Final answer
    x = 8,844.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.