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Finding the Fourth Proportional to 2,068.19, 3,102.67 and 681.58

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Solution

The fourth proportional to 2,068.19, 3,102.67 and 681.58 is: 1,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.19 : 3,102.67 = 681.58 : x
  2. Step 2: Convert to fraction form
    2,068.19/3,102.67 = 681.58/x
  3. Step 3: Cross multiply
    2,068.19x = 3,102.67 × 681.58
  4. Step 4: Simplify right side
    2,068.19x = 2,114,718.72
  5. Step 5: Solve for x
    x = 2,114,718.72/2,068.19
  6. Step 6: Final answer
    x = 1,022.50

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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.