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Finding the Fourth Proportional to 9,578, 13,217.84 and 5,386.56

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Solution

The fourth proportional to 9,578, 13,217.84 and 5,386.56 is: 7,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578 : 13,217.84 = 5,386.56 : x
  2. Step 2: Convert to fraction form
    9,578/13,217.84 = 5,386.56/x
  3. Step 3: Cross multiply
    9,578x = 13,217.84 × 5,386.56
  4. Step 4: Simplify right side
    9,578x = 71,198,688.23
  5. Step 5: Solve for x
    x = 71,198,688.23/9,578
  6. Step 6: Final answer
    x = 7,433.57

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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.