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Finding the Fourth Proportional to 2,718.36, 3,750.72 and 1,539.48

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Solution

The fourth proportional to 2,718.36, 3,750.72 and 1,539.48 is: 2,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.36 : 3,750.72 = 1,539.48 : x
  2. Step 2: Convert to fraction form
    2,718.36/3,750.72 = 1,539.48/x
  3. Step 3: Cross multiply
    2,718.36x = 3,750.72 × 1,539.48
  4. Step 4: Simplify right side
    2,718.36x = 5,774,158.43
  5. Step 5: Solve for x
    x = 5,774,158.43/2,718.36
  6. Step 6: Final answer
    x = 2,124.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.