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Finding the Fourth Proportional to 7,271.82, 10,034.64 and 4,287.10

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Solution

The fourth proportional to 7,271.82, 10,034.64 and 4,287.10 is: 5,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.82 : 10,034.64 = 4,287.10 : x
  2. Step 2: Convert to fraction form
    7,271.82/10,034.64 = 4,287.10/x
  3. Step 3: Cross multiply
    7,271.82x = 10,034.64 × 4,287.10
  4. Step 4: Simplify right side
    7,271.82x = 43,019,505.14
  5. Step 5: Solve for x
    x = 43,019,505.14/7,271.82
  6. Step 6: Final answer
    x = 5,915.92

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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.