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Finding the Fourth Proportional to 9,610.10, 14,415.15 and 8,419.70

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Solution

The fourth proportional to 9,610.10, 14,415.15 and 8,419.70 is: 12,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.10 : 14,415.15 = 8,419.70 : x
  2. Step 2: Convert to fraction form
    9,610.10/14,415.15 = 8,419.70/x
  3. Step 3: Cross multiply
    9,610.10x = 14,415.15 × 8,419.70
  4. Step 4: Simplify right side
    9,610.10x = 121,371,238.46
  5. Step 5: Solve for x
    x = 121,371,238.46/9,610.10
  6. Step 6: Final answer
    x = 12,629.55

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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.