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Finding the Fourth Proportional to 11,122, 15,348.36 and 6,154

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Solution

The fourth proportional to 11,122, 15,348.36 and 6,154 is: 8,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122 : 15,348.36 = 6,154 : x
  2. Step 2: Convert to fraction form
    11,122/15,348.36 = 6,154/x
  3. Step 3: Cross multiply
    11,122x = 15,348.36 × 6,154
  4. Step 4: Simplify right side
    11,122x = 94,453,807.44
  5. Step 5: Solve for x
    x = 94,453,807.44/11,122
  6. Step 6: Final answer
    x = 8,492.52

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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.