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Finding the Fourth Proportional to 11,420.15, 17,129.98 and 5,264.15

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Solution

The fourth proportional to 11,420.15, 17,129.98 and 5,264.15 is: 7,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.15 : 17,129.98 = 5,264.15 : x
  2. Step 2: Convert to fraction form
    11,420.15/17,129.98 = 5,264.15/x
  3. Step 3: Cross multiply
    11,420.15x = 17,129.98 × 5,264.15
  4. Step 4: Simplify right side
    11,420.15x = 90,174,784.22
  5. Step 5: Solve for x
    x = 90,174,784.22/11,420.15
  6. Step 6: Final answer
    x = 7,896.11

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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.