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Finding the Fourth Proportional to 7,112.40, 9,813.78 and 4,463.40

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Solution

The fourth proportional to 7,112.40, 9,813.78 and 4,463.40 is: 6,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.40 : 9,813.78 = 4,463.40 : x
  2. Step 2: Convert to fraction form
    7,112.40/9,813.78 = 4,463.40/x
  3. Step 3: Cross multiply
    7,112.40x = 9,813.78 × 4,463.40
  4. Step 4: Simplify right side
    7,112.40x = 43,802,825.65
  5. Step 5: Solve for x
    x = 43,802,825.65/7,112.40
  6. Step 6: Final answer
    x = 6,158.66

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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.