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Finding the Fourth Proportional to 2,683.79, 4,021.56 and 1,587

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Solution

The fourth proportional to 2,683.79, 4,021.56 and 1,587 is: 2,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.79 : 4,021.56 = 1,587 : x
  2. Step 2: Convert to fraction form
    2,683.79/4,021.56 = 1,587/x
  3. Step 3: Cross multiply
    2,683.79x = 4,021.56 × 1,587
  4. Step 4: Simplify right side
    2,683.79x = 6,382,215.72
  5. Step 5: Solve for x
    x = 6,382,215.72/2,683.79
  6. Step 6: Final answer
    x = 2,378.07

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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.