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Finding the Fourth Proportional to 2,447, 3,671.36 and 803.68

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Solution

The fourth proportional to 2,447, 3,671.36 and 803.68 is: 1,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447 : 3,671.36 = 803.68 : x
  2. Step 2: Convert to fraction form
    2,447/3,671.36 = 803.68/x
  3. Step 3: Cross multiply
    2,447x = 3,671.36 × 803.68
  4. Step 4: Simplify right side
    2,447x = 2,950,598.60
  5. Step 5: Solve for x
    x = 2,950,598.60/2,447
  6. Step 6: Final answer
    x = 1,205.80

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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.