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Finding the Fourth Proportional to 9,150.78, 13,715.10 and 6,548.25

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Solution

The fourth proportional to 9,150.78, 13,715.10 and 6,548.25 is: 9,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.78 : 13,715.10 = 6,548.25 : x
  2. Step 2: Convert to fraction form
    9,150.78/13,715.10 = 6,548.25/x
  3. Step 3: Cross multiply
    9,150.78x = 13,715.10 × 6,548.25
  4. Step 4: Simplify right side
    9,150.78x = 89,809,903.58
  5. Step 5: Solve for x
    x = 89,809,903.58/9,150.78
  6. Step 6: Final answer
    x = 9,814.45

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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.