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Finding the Fourth Proportional to 4,087, 5,640.54 and 2,431

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Solution

The fourth proportional to 4,087, 5,640.54 and 2,431 is: 3,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087 : 5,640.54 = 2,431 : x
  2. Step 2: Convert to fraction form
    4,087/5,640.54 = 2,431/x
  3. Step 3: Cross multiply
    4,087x = 5,640.54 × 2,431
  4. Step 4: Simplify right side
    4,087x = 13,712,152.74
  5. Step 5: Solve for x
    x = 13,712,152.74/4,087
  6. Step 6: Final answer
    x = 3,355.07

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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.