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Finding the Fourth Proportional to 11,648.78, 17,460.86 and 8,360.08

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Solution

The fourth proportional to 11,648.78, 17,460.86 and 8,360.08 is: 12,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.78 : 17,460.86 = 8,360.08 : x
  2. Step 2: Convert to fraction form
    11,648.78/17,460.86 = 8,360.08/x
  3. Step 3: Cross multiply
    11,648.78x = 17,460.86 × 8,360.08
  4. Step 4: Simplify right side
    11,648.78x = 145,974,186.47
  5. Step 5: Solve for x
    x = 145,974,186.47/11,648.78
  6. Step 6: Final answer
    x = 12,531.29

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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.