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Finding the Fourth Proportional to 7,881.90, 11,808.45 and 6,413.10

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Solution

The fourth proportional to 7,881.90, 11,808.45 and 6,413.10 is: 9,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.90 : 11,808.45 = 6,413.10 : x
  2. Step 2: Convert to fraction form
    7,881.90/11,808.45 = 6,413.10/x
  3. Step 3: Cross multiply
    7,881.90x = 11,808.45 × 6,413.10
  4. Step 4: Simplify right side
    7,881.90x = 75,728,770.70
  5. Step 5: Solve for x
    x = 75,728,770.70/7,881.90
  6. Step 6: Final answer
    x = 9,607.93

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1.5x scale

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.