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Finding the Fourth Proportional to 2,005.52, 2,768.84 and 1,587.56

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Solution

The fourth proportional to 2,005.52, 2,768.84 and 1,587.56 is: 2,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.52 : 2,768.84 = 1,587.56 : x
  2. Step 2: Convert to fraction form
    2,005.52/2,768.84 = 1,587.56/x
  3. Step 3: Cross multiply
    2,005.52x = 2,768.84 × 1,587.56
  4. Step 4: Simplify right side
    2,005.52x = 4,395,699.63
  5. Step 5: Solve for x
    x = 4,395,699.63/2,005.52
  6. Step 6: Final answer
    x = 2,191.80

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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.