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Finding the Fourth Proportional to 6,988.60, 9,644.02 and 4,004.02

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Solution

The fourth proportional to 6,988.60, 9,644.02 and 4,004.02 is: 5,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.60 : 9,644.02 = 4,004.02 : x
  2. Step 2: Convert to fraction form
    6,988.60/9,644.02 = 4,004.02/x
  3. Step 3: Cross multiply
    6,988.60x = 9,644.02 × 4,004.02
  4. Step 4: Simplify right side
    6,988.60x = 38,614,848.96
  5. Step 5: Solve for x
    x = 38,614,848.96/6,988.60
  6. Step 6: Final answer
    x = 5,525.41

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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.