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Finding the Fourth Proportional to 6,990.61, 9,642 and 4,005.36

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Solution

The fourth proportional to 6,990.61, 9,642 and 4,005.36 is: 5,524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.61 : 9,642 = 4,005.36 : x
  2. Step 2: Convert to fraction form
    6,990.61/9,642 = 4,005.36/x
  3. Step 3: Cross multiply
    6,990.61x = 9,642 × 4,005.36
  4. Step 4: Simplify right side
    6,990.61x = 38,619,681.12
  5. Step 5: Solve for x
    x = 38,619,681.12/6,990.61
  6. Step 6: Final answer
    x = 5,524.51

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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.