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Finding the Fourth Proportional to 2,166.90, 2,990.07 and 1,282.74

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Solution

The fourth proportional to 2,166.90, 2,990.07 and 1,282.74 is: 1,770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.90 : 2,990.07 = 1,282.74 : x
  2. Step 2: Convert to fraction form
    2,166.90/2,990.07 = 1,282.74/x
  3. Step 3: Cross multiply
    2,166.90x = 2,990.07 × 1,282.74
  4. Step 4: Simplify right side
    2,166.90x = 3,835,482.39
  5. Step 5: Solve for x
    x = 3,835,482.39/2,166.90
  6. Step 6: Final answer
    x = 1,770.03

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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.