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Finding the Fourth Proportional to 6,820.76, 9,413.16 and 3,989

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Solution

The fourth proportional to 6,820.76, 9,413.16 and 3,989 is: 5,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.76 : 9,413.16 = 3,989 : x
  2. Step 2: Convert to fraction form
    6,820.76/9,413.16 = 3,989/x
  3. Step 3: Cross multiply
    6,820.76x = 9,413.16 × 3,989
  4. Step 4: Simplify right side
    6,820.76x = 37,549,095.24
  5. Step 5: Solve for x
    x = 37,549,095.24/6,820.76
  6. Step 6: Final answer
    x = 5,505.12

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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.