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Finding the Fourth Proportional to 6,178.80, 9,253.80 and 4,220.40

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Solution

The fourth proportional to 6,178.80, 9,253.80 and 4,220.40 is: 6,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.80 : 9,253.80 = 4,220.40 : x
  2. Step 2: Convert to fraction form
    6,178.80/9,253.80 = 4,220.40/x
  3. Step 3: Cross multiply
    6,178.80x = 9,253.80 × 4,220.40
  4. Step 4: Simplify right side
    6,178.80x = 39,054,737.52
  5. Step 5: Solve for x
    x = 39,054,737.52/6,178.80
  6. Step 6: Final answer
    x = 6,320.76

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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.