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Finding the Fourth Proportional to 3,666.50, 5,059.74 and 1,987.94

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Solution

The fourth proportional to 3,666.50, 5,059.74 and 1,987.94 is: 2,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.50 : 5,059.74 = 1,987.94 : x
  2. Step 2: Convert to fraction form
    3,666.50/5,059.74 = 1,987.94/x
  3. Step 3: Cross multiply
    3,666.50x = 5,059.74 × 1,987.94
  4. Step 4: Simplify right side
    3,666.50x = 10,058,479.64
  5. Step 5: Solve for x
    x = 10,058,479.64/3,666.50
  6. Step 6: Final answer
    x = 2,743.35

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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.