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Finding the Fourth Proportional to 2,011.52, 2,774.88 and 1,486.64

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Solution

The fourth proportional to 2,011.52, 2,774.88 and 1,486.64 is: 2,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.52 : 2,774.88 = 1,486.64 : x
  2. Step 2: Convert to fraction form
    2,011.52/2,774.88 = 1,486.64/x
  3. Step 3: Cross multiply
    2,011.52x = 2,774.88 × 1,486.64
  4. Step 4: Simplify right side
    2,011.52x = 4,125,247.60
  5. Step 5: Solve for x
    x = 4,125,247.60/2,011.52
  6. Step 6: Final answer
    x = 2,050.81

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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.