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Finding the Fourth Proportional to 2,487, 3,432.06 and 1,383

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Solution

The fourth proportional to 2,487, 3,432.06 and 1,383 is: 1,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487 : 3,432.06 = 1,383 : x
  2. Step 2: Convert to fraction form
    2,487/3,432.06 = 1,383/x
  3. Step 3: Cross multiply
    2,487x = 3,432.06 × 1,383
  4. Step 4: Simplify right side
    2,487x = 4,746,538.98
  5. Step 5: Solve for x
    x = 4,746,538.98/2,487
  6. Step 6: Final answer
    x = 1,908.54

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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.