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Finding the Fourth Proportional to 2,638.95, 3,640.05 and 1,590

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Solution

The fourth proportional to 2,638.95, 3,640.05 and 1,590 is: 2,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.95 : 3,640.05 = 1,590 : x
  2. Step 2: Convert to fraction form
    2,638.95/3,640.05 = 1,590/x
  3. Step 3: Cross multiply
    2,638.95x = 3,640.05 × 1,590
  4. Step 4: Simplify right side
    2,638.95x = 5,787,679.50
  5. Step 5: Solve for x
    x = 5,787,679.50/2,638.95
  6. Step 6: Final answer
    x = 2,193.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.