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Finding the Fourth Proportional to 7,421, 10,240.98 and 4,109

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Solution

The fourth proportional to 7,421, 10,240.98 and 4,109 is: 5,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421 : 10,240.98 = 4,109 : x
  2. Step 2: Convert to fraction form
    7,421/10,240.98 = 4,109/x
  3. Step 3: Cross multiply
    7,421x = 10,240.98 × 4,109
  4. Step 4: Simplify right side
    7,421x = 42,080,186.82
  5. Step 5: Solve for x
    x = 42,080,186.82/7,421
  6. Step 6: Final answer
    x = 5,670.42

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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.