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Finding the Fourth Proportional to 3,869.66, 5,803.91 and 1,237.46

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Solution

The fourth proportional to 3,869.66, 5,803.91 and 1,237.46 is: 1,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.66 : 5,803.91 = 1,237.46 : x
  2. Step 2: Convert to fraction form
    3,869.66/5,803.91 = 1,237.46/x
  3. Step 3: Cross multiply
    3,869.66x = 5,803.91 × 1,237.46
  4. Step 4: Simplify right side
    3,869.66x = 7,182,077.45
  5. Step 5: Solve for x
    x = 7,182,077.45/3,869.66
  6. Step 6: Final answer
    x = 1,856.00

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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.