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Finding the Fourth Proportional to 11,129.16, 15,358.50 and 6,413.88

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Solution

The fourth proportional to 11,129.16, 15,358.50 and 6,413.88 is: 8,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.16 : 15,358.50 = 6,413.88 : x
  2. Step 2: Convert to fraction form
    11,129.16/15,358.50 = 6,413.88/x
  3. Step 3: Cross multiply
    11,129.16x = 15,358.50 × 6,413.88
  4. Step 4: Simplify right side
    11,129.16x = 98,507,575.98
  5. Step 5: Solve for x
    x = 98,507,575.98/11,129.16
  6. Step 6: Final answer
    x = 8,851.30

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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.