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Finding the Fourth Proportional to 7,135.61, 9,843.84 and 4,618.53

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Solution

The fourth proportional to 7,135.61, 9,843.84 and 4,618.53 is: 6,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.61 : 9,843.84 = 4,618.53 : x
  2. Step 2: Convert to fraction form
    7,135.61/9,843.84 = 4,618.53/x
  3. Step 3: Cross multiply
    7,135.61x = 9,843.84 × 4,618.53
  4. Step 4: Simplify right side
    7,135.61x = 45,464,070.36
  5. Step 5: Solve for x
    x = 45,464,070.36/7,135.61
  6. Step 6: Final answer
    x = 6,371.43

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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.