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Finding the Fourth Proportional to 9,642.44, 14,465.12 and 2,978.39

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Solution

The fourth proportional to 9,642.44, 14,465.12 and 2,978.39 is: 4,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.44 : 14,465.12 = 2,978.39 : x
  2. Step 2: Convert to fraction form
    9,642.44/14,465.12 = 2,978.39/x
  3. Step 3: Cross multiply
    9,642.44x = 14,465.12 × 2,978.39
  4. Step 4: Simplify right side
    9,642.44x = 43,082,790.03
  5. Step 5: Solve for x
    x = 43,082,790.03/9,642.44
  6. Step 6: Final answer
    x = 4,468.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.