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Finding the Fourth Proportional to 7,238.10, 10,853.10 and 3,077.40

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Solution

The fourth proportional to 7,238.10, 10,853.10 and 3,077.40 is: 4,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.10 : 10,853.10 = 3,077.40 : x
  2. Step 2: Convert to fraction form
    7,238.10/10,853.10 = 3,077.40/x
  3. Step 3: Cross multiply
    7,238.10x = 10,853.10 × 3,077.40
  4. Step 4: Simplify right side
    7,238.10x = 33,399,329.94
  5. Step 5: Solve for x
    x = 33,399,329.94/7,238.10
  6. Step 6: Final answer
    x = 4,614.38

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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.