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Finding the Fourth Proportional to 7,526, 10,386 and 4,214

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Solution

The fourth proportional to 7,526, 10,386 and 4,214 is: 5,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,526 : 10,386 = 4,214 : x
  2. Step 2: Convert to fraction form
    7,526/10,386 = 4,214/x
  3. Step 3: Cross multiply
    7,526x = 10,386 × 4,214
  4. Step 4: Simplify right side
    7,526x = 43,766,604
  5. Step 5: Solve for x
    x = 43,766,604/7,526
  6. Step 6: Final answer
    x = 5,815.39

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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.