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Finding the Fourth Proportional to 6,539.64, 9,809.40 and 1,609.32

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Solution

The fourth proportional to 6,539.64, 9,809.40 and 1,609.32 is: 2,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.64 : 9,809.40 = 1,609.32 : x
  2. Step 2: Convert to fraction form
    6,539.64/9,809.40 = 1,609.32/x
  3. Step 3: Cross multiply
    6,539.64x = 9,809.40 × 1,609.32
  4. Step 4: Simplify right side
    6,539.64x = 15,786,463.61
  5. Step 5: Solve for x
    x = 15,786,463.61/6,539.64
  6. Step 6: Final answer
    x = 2,413.97

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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.