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Finding the Fourth Proportional to 7,138.54, 9,853.95 and 4,343.50

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Solution

The fourth proportional to 7,138.54, 9,853.95 and 4,343.50 is: 5,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.54 : 9,853.95 = 4,343.50 : x
  2. Step 2: Convert to fraction form
    7,138.54/9,853.95 = 4,343.50/x
  3. Step 3: Cross multiply
    7,138.54x = 9,853.95 × 4,343.50
  4. Step 4: Simplify right side
    7,138.54x = 42,800,631.83
  5. Step 5: Solve for x
    x = 42,800,631.83/7,138.54
  6. Step 6: Final answer
    x = 5,995.71

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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.