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Finding the Fourth Proportional to 6,990.54, 9,646.96 and 4,006.44

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Solution

The fourth proportional to 6,990.54, 9,646.96 and 4,006.44 is: 5,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.54 : 9,646.96 = 4,006.44 : x
  2. Step 2: Convert to fraction form
    6,990.54/9,646.96 = 4,006.44/x
  3. Step 3: Cross multiply
    6,990.54x = 9,646.96 × 4,006.44
  4. Step 4: Simplify right side
    6,990.54x = 38,649,966.42
  5. Step 5: Solve for x
    x = 38,649,966.42/6,990.54
  6. Step 6: Final answer
    x = 5,528.90

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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.