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Finding the Fourth Proportional to 7,578.58, 11,413.49 and 6,712

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Solution

The fourth proportional to 7,578.58, 11,413.49 and 6,712 is: 10,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.58 : 11,413.49 = 6,712 : x
  2. Step 2: Convert to fraction form
    7,578.58/11,413.49 = 6,712/x
  3. Step 3: Cross multiply
    7,578.58x = 11,413.49 × 6,712
  4. Step 4: Simplify right side
    7,578.58x = 76,607,344.88
  5. Step 5: Solve for x
    x = 76,607,344.88/7,578.58
  6. Step 6: Final answer
    x = 10,108.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.