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Finding the Fourth Proportional to 2,102.85, 2,902.14 and 1,158.84

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Solution

The fourth proportional to 2,102.85, 2,902.14 and 1,158.84 is: 1,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.85 : 2,902.14 = 1,158.84 : x
  2. Step 2: Convert to fraction form
    2,102.85/2,902.14 = 1,158.84/x
  3. Step 3: Cross multiply
    2,102.85x = 2,902.14 × 1,158.84
  4. Step 4: Simplify right side
    2,102.85x = 3,363,115.92
  5. Step 5: Solve for x
    x = 3,363,115.92/2,102.85
  6. Step 6: Final answer
    x = 1,599.31

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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.