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Finding the Fourth Proportional to 2,118.34, 3,178.08 and 885.34

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Solution

The fourth proportional to 2,118.34, 3,178.08 and 885.34 is: 1,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.34 : 3,178.08 = 885.34 : x
  2. Step 2: Convert to fraction form
    2,118.34/3,178.08 = 885.34/x
  3. Step 3: Cross multiply
    2,118.34x = 3,178.08 × 885.34
  4. Step 4: Simplify right side
    2,118.34x = 2,813,681.35
  5. Step 5: Solve for x
    x = 2,813,681.35/2,118.34
  6. Step 6: Final answer
    x = 1,328.25

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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.