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Finding the Fourth Proportional to 15,486, 23,231.88 and 7,278

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Solution

The fourth proportional to 15,486, 23,231.88 and 7,278 is: 10,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486 : 23,231.88 = 7,278 : x
  2. Step 2: Convert to fraction form
    15,486/23,231.88 = 7,278/x
  3. Step 3: Cross multiply
    15,486x = 23,231.88 × 7,278
  4. Step 4: Simplify right side
    15,486x = 169,081,622.64
  5. Step 5: Solve for x
    x = 169,081,622.64/15,486
  6. Step 6: Final answer
    x = 10,918.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.