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Finding the Fourth Proportional to 2,101.76, 3,152.58 and 868.84

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Solution

The fourth proportional to 2,101.76, 3,152.58 and 868.84 is: 1,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.76 : 3,152.58 = 868.84 : x
  2. Step 2: Convert to fraction form
    2,101.76/3,152.58 = 868.84/x
  3. Step 3: Cross multiply
    2,101.76x = 3,152.58 × 868.84
  4. Step 4: Simplify right side
    2,101.76x = 2,739,087.61
  5. Step 5: Solve for x
    x = 2,739,087.61/2,101.76
  6. Step 6: Final answer
    x = 1,303.24

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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.