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Finding the Fourth Proportional to 6,481, 8,943.78 and 3,537

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Solution

The fourth proportional to 6,481, 8,943.78 and 3,537 is: 4,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481 : 8,943.78 = 3,537 : x
  2. Step 2: Convert to fraction form
    6,481/8,943.78 = 3,537/x
  3. Step 3: Cross multiply
    6,481x = 8,943.78 × 3,537
  4. Step 4: Simplify right side
    6,481x = 31,634,149.86
  5. Step 5: Solve for x
    x = 31,634,149.86/6,481
  6. Step 6: Final answer
    x = 4,881.06

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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.