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Finding the Fourth Proportional to 2,165.85, 2,987.04 and 1,409.82

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Solution

The fourth proportional to 2,165.85, 2,987.04 and 1,409.82 is: 1,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.85 : 2,987.04 = 1,409.82 : x
  2. Step 2: Convert to fraction form
    2,165.85/2,987.04 = 1,409.82/x
  3. Step 3: Cross multiply
    2,165.85x = 2,987.04 × 1,409.82
  4. Step 4: Simplify right side
    2,165.85x = 4,211,188.73
  5. Step 5: Solve for x
    x = 4,211,188.73/2,165.85
  6. Step 6: Final answer
    x = 1,944.36

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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.