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Finding the Fourth Proportional to 2,159.77, 3,240.12 and 699.07

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Solution

The fourth proportional to 2,159.77, 3,240.12 and 699.07 is: 1,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.77 : 3,240.12 = 699.07 : x
  2. Step 2: Convert to fraction form
    2,159.77/3,240.12 = 699.07/x
  3. Step 3: Cross multiply
    2,159.77x = 3,240.12 × 699.07
  4. Step 4: Simplify right side
    2,159.77x = 2,265,054.49
  5. Step 5: Solve for x
    x = 2,265,054.49/2,159.77
  6. Step 6: Final answer
    x = 1,048.75

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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.