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Finding the Fourth Proportional to 7,520, 10,378.08 and 4,208

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Solution

The fourth proportional to 7,520, 10,378.08 and 4,208 is: 5,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520 : 10,378.08 = 4,208 : x
  2. Step 2: Convert to fraction form
    7,520/10,378.08 = 4,208/x
  3. Step 3: Cross multiply
    7,520x = 10,378.08 × 4,208
  4. Step 4: Simplify right side
    7,520x = 43,670,960.64
  5. Step 5: Solve for x
    x = 43,670,960.64/7,520
  6. Step 6: Final answer
    x = 5,807.31

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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.