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Finding the Fourth Proportional to 9,678, 13,355.76 and 5,262

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Solution

The fourth proportional to 9,678, 13,355.76 and 5,262 is: 7,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678 : 13,355.76 = 5,262 : x
  2. Step 2: Convert to fraction form
    9,678/13,355.76 = 5,262/x
  3. Step 3: Cross multiply
    9,678x = 13,355.76 × 5,262
  4. Step 4: Simplify right side
    9,678x = 70,278,009.12
  5. Step 5: Solve for x
    x = 70,278,009.12/9,678
  6. Step 6: Final answer
    x = 7,261.63

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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.