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Finding the Fourth Proportional to 9,642.72, 14,464.08 and 9,150.24

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Solution

The fourth proportional to 9,642.72, 14,464.08 and 9,150.24 is: 13,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.72 : 14,464.08 = 9,150.24 : x
  2. Step 2: Convert to fraction form
    9,642.72/14,464.08 = 9,150.24/x
  3. Step 3: Cross multiply
    9,642.72x = 14,464.08 × 9,150.24
  4. Step 4: Simplify right side
    9,642.72x = 132,349,803.38
  5. Step 5: Solve for x
    x = 132,349,803.38/9,642.72
  6. Step 6: Final answer
    x = 13,725.36

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