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Finding the Fourth Proportional to 6,678.10, 9,219 and 4,443.70

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Solution

The fourth proportional to 6,678.10, 9,219 and 4,443.70 is: 6,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.10 : 9,219 = 4,443.70 : x
  2. Step 2: Convert to fraction form
    6,678.10/9,219 = 4,443.70/x
  3. Step 3: Cross multiply
    6,678.10x = 9,219 × 4,443.70
  4. Step 4: Simplify right side
    6,678.10x = 40,966,470.30
  5. Step 5: Solve for x
    x = 40,966,470.30/6,678.10
  6. Step 6: Final answer
    x = 6,134.45

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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.