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Finding the Fourth Proportional to 11,549.78, 15,834.78 and 11,339.58

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Solution

The fourth proportional to 11,549.78, 15,834.78 and 11,339.58 is: 15,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.78 : 15,834.78 = 11,339.58 : x
  2. Step 2: Convert to fraction form
    11,549.78/15,834.78 = 11,339.58/x
  3. Step 3: Cross multiply
    11,549.78x = 15,834.78 × 11,339.58
  4. Step 4: Simplify right side
    11,549.78x = 179,559,754.59
  5. Step 5: Solve for x
    x = 179,559,754.59/11,549.78
  6. Step 6: Final answer
    x = 15,546.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.