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Finding the Fourth Proportional to 2,699.52, 3,720.12 and 1,952.16

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Solution

The fourth proportional to 2,699.52, 3,720.12 and 1,952.16 is: 2,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.52 : 3,720.12 = 1,952.16 : x
  2. Step 2: Convert to fraction form
    2,699.52/3,720.12 = 1,952.16/x
  3. Step 3: Cross multiply
    2,699.52x = 3,720.12 × 1,952.16
  4. Step 4: Simplify right side
    2,699.52x = 7,262,269.46
  5. Step 5: Solve for x
    x = 7,262,269.46/2,699.52
  6. Step 6: Final answer
    x = 2,690.21

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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.