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Finding the Fourth Proportional to 7,112.40, 10,678.20 and 5,653.20

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Solution

The fourth proportional to 7,112.40, 10,678.20 and 5,653.20 is: 8,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.40 : 10,678.20 = 5,653.20 : x
  2. Step 2: Convert to fraction form
    7,112.40/10,678.20 = 5,653.20/x
  3. Step 3: Cross multiply
    7,112.40x = 10,678.20 × 5,653.20
  4. Step 4: Simplify right side
    7,112.40x = 60,366,000.24
  5. Step 5: Solve for x
    x = 60,366,000.24/7,112.40
  6. Step 6: Final answer
    x = 8,487.43

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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.