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Finding the Fourth Proportional to 11,442.66, 15,730.12 and 9,843.44

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Solution

The fourth proportional to 11,442.66, 15,730.12 and 9,843.44 is: 13,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.66 : 15,730.12 = 9,843.44 : x
  2. Step 2: Convert to fraction form
    11,442.66/15,730.12 = 9,843.44/x
  3. Step 3: Cross multiply
    11,442.66x = 15,730.12 × 9,843.44
  4. Step 4: Simplify right side
    11,442.66x = 154,838,492.41
  5. Step 5: Solve for x
    x = 154,838,492.41/11,442.66
  6. Step 6: Final answer
    x = 13,531.69

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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.