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Finding the Fourth Proportional to 2,874.98, 3,967.47 and 1,680.80

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Solution

The fourth proportional to 2,874.98, 3,967.47 and 1,680.80 is: 2,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.98 : 3,967.47 = 1,680.80 : x
  2. Step 2: Convert to fraction form
    2,874.98/3,967.47 = 1,680.80/x
  3. Step 3: Cross multiply
    2,874.98x = 3,967.47 × 1,680.80
  4. Step 4: Simplify right side
    2,874.98x = 6,668,503.74
  5. Step 5: Solve for x
    x = 6,668,503.74/2,874.98
  6. Step 6: Final answer
    x = 2,319.50

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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.