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Finding the Fourth Proportional to 6,990.84, 10,478.31 and 3,653.94

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Solution

The fourth proportional to 6,990.84, 10,478.31 and 3,653.94 is: 5,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.84 : 10,478.31 = 3,653.94 : x
  2. Step 2: Convert to fraction form
    6,990.84/10,478.31 = 3,653.94/x
  3. Step 3: Cross multiply
    6,990.84x = 10,478.31 × 3,653.94
  4. Step 4: Simplify right side
    6,990.84x = 38,287,116.04
  5. Step 5: Solve for x
    x = 38,287,116.04/6,990.84
  6. Step 6: Final answer
    x = 5,476.75

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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.