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Finding the Fourth Proportional to 9,985.62, 13,785.78 and 6,633.02

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Solution

The fourth proportional to 9,985.62, 13,785.78 and 6,633.02 is: 9,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.62 : 13,785.78 = 6,633.02 : x
  2. Step 2: Convert to fraction form
    9,985.62/13,785.78 = 6,633.02/x
  3. Step 3: Cross multiply
    9,985.62x = 13,785.78 × 6,633.02
  4. Step 4: Simplify right side
    9,985.62x = 91,441,354.46
  5. Step 5: Solve for x
    x = 91,441,354.46/9,985.62
  6. Step 6: Final answer
    x = 9,157.30

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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.