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Finding the Fourth Proportional to 11,554.91, 15,942.05 and 9,124.55

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Solution

The fourth proportional to 11,554.91, 15,942.05 and 9,124.55 is: 12,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.91 : 15,942.05 = 9,124.55 : x
  2. Step 2: Convert to fraction form
    11,554.91/15,942.05 = 9,124.55/x
  3. Step 3: Cross multiply
    11,554.91x = 15,942.05 × 9,124.55
  4. Step 4: Simplify right side
    11,554.91x = 145,464,026.56
  5. Step 5: Solve for x
    x = 145,464,026.56/11,554.91
  6. Step 6: Final answer
    x = 12,588.94

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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.