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Finding the Fourth Proportional to 2,079.77, 3,118.79 and 846.35

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Solution

The fourth proportional to 2,079.77, 3,118.79 and 846.35 is: 1,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.77 : 3,118.79 = 846.35 : x
  2. Step 2: Convert to fraction form
    2,079.77/3,118.79 = 846.35/x
  3. Step 3: Cross multiply
    2,079.77x = 3,118.79 × 846.35
  4. Step 4: Simplify right side
    2,079.77x = 2,639,574.44
  5. Step 5: Solve for x
    x = 2,639,574.44/2,079.77
  6. Step 6: Final answer
    x = 1,269.16

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1.5x scale

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.