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Finding the Fourth Proportional to 2,169.61, 2,994.38 and 1,424.68

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Solution

The fourth proportional to 2,169.61, 2,994.38 and 1,424.68 is: 1,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.61 : 2,994.38 = 1,424.68 : x
  2. Step 2: Convert to fraction form
    2,169.61/2,994.38 = 1,424.68/x
  3. Step 3: Cross multiply
    2,169.61x = 2,994.38 × 1,424.68
  4. Step 4: Simplify right side
    2,169.61x = 4,266,033.30
  5. Step 5: Solve for x
    x = 4,266,033.30/2,169.61
  6. Step 6: Final answer
    x = 1,966.27

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1.5x scale

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.