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Finding the Fourth Proportional to 7,770.88, 10,723.84 and 4,413.68

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Solution

The fourth proportional to 7,770.88, 10,723.84 and 4,413.68 is: 6,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.88 : 10,723.84 = 4,413.68 : x
  2. Step 2: Convert to fraction form
    7,770.88/10,723.84 = 4,413.68/x
  3. Step 3: Cross multiply
    7,770.88x = 10,723.84 × 4,413.68
  4. Step 4: Simplify right side
    7,770.88x = 47,331,598.13
  5. Step 5: Solve for x
    x = 47,331,598.13/7,770.88
  6. Step 6: Final answer
    x = 6,090.89

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1.5x scale

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.