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Finding the Fourth Proportional to 15,838.41, 21,858.08 and 9,123.87

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Solution

The fourth proportional to 15,838.41, 21,858.08 and 9,123.87 is: 12,591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.41 : 21,858.08 = 9,123.87 : x
  2. Step 2: Convert to fraction form
    15,838.41/21,858.08 = 9,123.87/x
  3. Step 3: Cross multiply
    15,838.41x = 21,858.08 × 9,123.87
  4. Step 4: Simplify right side
    15,838.41x = 199,430,234.75
  5. Step 5: Solve for x
    x = 199,430,234.75/15,838.41
  6. Step 6: Final answer
    x = 12,591.56

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1.5x scale

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.