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Finding the Fourth Proportional to 3,347.66, 5,018.75 and 1,266.48

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Solution

The fourth proportional to 3,347.66, 5,018.75 and 1,266.48 is: 1,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.66 : 5,018.75 = 1,266.48 : x
  2. Step 2: Convert to fraction form
    3,347.66/5,018.75 = 1,266.48/x
  3. Step 3: Cross multiply
    3,347.66x = 5,018.75 × 1,266.48
  4. Step 4: Simplify right side
    3,347.66x = 6,356,146.50
  5. Step 5: Solve for x
    x = 6,356,146.50/3,347.66
  6. Step 6: Final answer
    x = 1,898.68

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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.