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Finding the Fourth Proportional to 1,986.77, 2,980.10 and 1,170.23

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Solution

The fourth proportional to 1,986.77, 2,980.10 and 1,170.23 is: 1,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.77 : 2,980.10 = 1,170.23 : x
  2. Step 2: Convert to fraction form
    1,986.77/2,980.10 = 1,170.23/x
  3. Step 3: Cross multiply
    1,986.77x = 2,980.10 × 1,170.23
  4. Step 4: Simplify right side
    1,986.77x = 3,487,381.67
  5. Step 5: Solve for x
    x = 3,487,381.67/1,986.77
  6. Step 6: Final answer
    x = 1,755.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.