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Finding the Fourth Proportional to 2,447, 3,671.04 and 715.76

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Solution

The fourth proportional to 2,447, 3,671.04 and 715.76 is: 1,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447 : 3,671.04 = 715.76 : x
  2. Step 2: Convert to fraction form
    2,447/3,671.04 = 715.76/x
  3. Step 3: Cross multiply
    2,447x = 3,671.04 × 715.76
  4. Step 4: Simplify right side
    2,447x = 2,627,583.59
  5. Step 5: Solve for x
    x = 2,627,583.59/2,447
  6. Step 6: Final answer
    x = 1,073.80

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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.