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Finding the Fourth Proportional to 5,236.51, 7,855.88 and 1,538.46

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Solution

The fourth proportional to 5,236.51, 7,855.88 and 1,538.46 is: 2,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.51 : 7,855.88 = 1,538.46 : x
  2. Step 2: Convert to fraction form
    5,236.51/7,855.88 = 1,538.46/x
  3. Step 3: Cross multiply
    5,236.51x = 7,855.88 × 1,538.46
  4. Step 4: Simplify right side
    5,236.51x = 12,085,957.14
  5. Step 5: Solve for x
    x = 12,085,957.14/5,236.51
  6. Step 6: Final answer
    x = 2,308.02

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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.