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Finding the Fourth Proportional to 9,642.78, 13,296.15 and 7,868.88

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Solution

The fourth proportional to 9,642.78, 13,296.15 and 7,868.88 is: 10,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.78 : 13,296.15 = 7,868.88 : x
  2. Step 2: Convert to fraction form
    9,642.78/13,296.15 = 7,868.88/x
  3. Step 3: Cross multiply
    9,642.78x = 13,296.15 × 7,868.88
  4. Step 4: Simplify right side
    9,642.78x = 104,625,808.81
  5. Step 5: Solve for x
    x = 104,625,808.81/9,642.78
  6. Step 6: Final answer
    x = 10,850.17

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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.