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Finding the Fourth Proportional to 2,646.99, 3,970.52 and 699.18

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Solution

The fourth proportional to 2,646.99, 3,970.52 and 699.18 is: 1,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.99 : 3,970.52 = 699.18 : x
  2. Step 2: Convert to fraction form
    2,646.99/3,970.52 = 699.18/x
  3. Step 3: Cross multiply
    2,646.99x = 3,970.52 × 699.18
  4. Step 4: Simplify right side
    2,646.99x = 2,776,108.17
  5. Step 5: Solve for x
    x = 2,776,108.17/2,646.99
  6. Step 6: Final answer
    x = 1,048.78

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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.