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Finding the Fourth Proportional to 5,268, 7,902 and 1,805.16

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Solution

The fourth proportional to 5,268, 7,902 and 1,805.16 is: 2,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268 : 7,902 = 1,805.16 : x
  2. Step 2: Convert to fraction form
    5,268/7,902 = 1,805.16/x
  3. Step 3: Cross multiply
    5,268x = 7,902 × 1,805.16
  4. Step 4: Simplify right side
    5,268x = 14,264,374.32
  5. Step 5: Solve for x
    x = 14,264,374.32/5,268
  6. Step 6: Final answer
    x = 2,707.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.