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Finding the Fourth Proportional to 2,077.71, 3,116.22 and 690.99

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Solution

The fourth proportional to 2,077.71, 3,116.22 and 690.99 is: 1,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.71 : 3,116.22 = 690.99 : x
  2. Step 2: Convert to fraction form
    2,077.71/3,116.22 = 690.99/x
  3. Step 3: Cross multiply
    2,077.71x = 3,116.22 × 690.99
  4. Step 4: Simplify right side
    2,077.71x = 2,153,276.86
  5. Step 5: Solve for x
    x = 2,153,276.86/2,077.71
  6. Step 6: Final answer
    x = 1,036.37

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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.