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Finding the Fourth Proportional to 2,005.60, 3,009.84 and 852.16

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Solution

The fourth proportional to 2,005.60, 3,009.84 and 852.16 is: 1,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.60 : 3,009.84 = 852.16 : x
  2. Step 2: Convert to fraction form
    2,005.60/3,009.84 = 852.16/x
  3. Step 3: Cross multiply
    2,005.60x = 3,009.84 × 852.16
  4. Step 4: Simplify right side
    2,005.60x = 2,564,865.25
  5. Step 5: Solve for x
    x = 2,564,865.25/2,005.60
  6. Step 6: Final answer
    x = 1,278.85

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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.