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Finding the Fourth Proportional to 6,990.76, 9,643.62 and 5,665.96

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Solution

The fourth proportional to 6,990.76, 9,643.62 and 5,665.96 is: 7,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.76 : 9,643.62 = 5,665.96 : x
  2. Step 2: Convert to fraction form
    6,990.76/9,643.62 = 5,665.96/x
  3. Step 3: Cross multiply
    6,990.76x = 9,643.62 × 5,665.96
  4. Step 4: Simplify right side
    6,990.76x = 54,640,365.18
  5. Step 5: Solve for x
    x = 54,640,365.18/6,990.76
  6. Step 6: Final answer
    x = 7,816.08

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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.