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Finding the Fourth Proportional to 7,877.60, 10,868.04 and 4,519.20

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Solution

The fourth proportional to 7,877.60, 10,868.04 and 4,519.20 is: 6,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.60 : 10,868.04 = 4,519.20 : x
  2. Step 2: Convert to fraction form
    7,877.60/10,868.04 = 4,519.20/x
  3. Step 3: Cross multiply
    7,877.60x = 10,868.04 × 4,519.20
  4. Step 4: Simplify right side
    7,877.60x = 49,114,846.37
  5. Step 5: Solve for x
    x = 49,114,846.37/7,877.60
  6. Step 6: Final answer
    x = 6,234.75

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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.