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Finding the Fourth Proportional to 9,625.08, 13,269.78 and 7,642.20

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Solution

The fourth proportional to 9,625.08, 13,269.78 and 7,642.20 is: 10,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.08 : 13,269.78 = 7,642.20 : x
  2. Step 2: Convert to fraction form
    9,625.08/13,269.78 = 7,642.20/x
  3. Step 3: Cross multiply
    9,625.08x = 13,269.78 × 7,642.20
  4. Step 4: Simplify right side
    9,625.08x = 101,410,312.72
  5. Step 5: Solve for x
    x = 101,410,312.72/9,625.08
  6. Step 6: Final answer
    x = 10,536.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.