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Finding the Fourth Proportional to 6,990.99, 9,647.96 and 4,007.32

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Solution

The fourth proportional to 6,990.99, 9,647.96 and 4,007.32 is: 5,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.99 : 9,647.96 = 4,007.32 : x
  2. Step 2: Convert to fraction form
    6,990.99/9,647.96 = 4,007.32/x
  3. Step 3: Cross multiply
    6,990.99x = 9,647.96 × 4,007.32
  4. Step 4: Simplify right side
    6,990.99x = 38,662,394.79
  5. Step 5: Solve for x
    x = 38,662,394.79/6,990.99
  6. Step 6: Final answer
    x = 5,530.32

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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.