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Finding the Fourth Proportional to 2,065.68, 3,096 and 1,580.76

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Solution

The fourth proportional to 2,065.68, 3,096 and 1,580.76 is: 2,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.68 : 3,096 = 1,580.76 : x
  2. Step 2: Convert to fraction form
    2,065.68/3,096 = 1,580.76/x
  3. Step 3: Cross multiply
    2,065.68x = 3,096 × 1,580.76
  4. Step 4: Simplify right side
    2,065.68x = 4,894,032.96
  5. Step 5: Solve for x
    x = 4,894,032.96/2,065.68
  6. Step 6: Final answer
    x = 2,369.21

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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.