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Finding the Fourth Proportional to 38,271, 57,409.80 and 10,569

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Solution

The fourth proportional to 38,271, 57,409.80 and 10,569 is: 15,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,271 : 57,409.80 = 10,569 : x
  2. Step 2: Convert to fraction form
    38,271/57,409.80 = 10,569/x
  3. Step 3: Cross multiply
    38,271x = 57,409.80 × 10,569
  4. Step 4: Simplify right side
    38,271x = 606,764,176.20
  5. Step 5: Solve for x
    x = 606,764,176.20/38,271
  6. Step 6: Final answer
    x = 15,854.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.