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Finding the Fourth Proportional to 10,377, 15,571.98 and 4,221

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Solution

The fourth proportional to 10,377, 15,571.98 and 4,221 is: 6,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377 : 15,571.98 = 4,221 : x
  2. Step 2: Convert to fraction form
    10,377/15,571.98 = 4,221/x
  3. Step 3: Cross multiply
    10,377x = 15,571.98 × 4,221
  4. Step 4: Simplify right side
    10,377x = 65,729,327.58
  5. Step 5: Solve for x
    x = 65,729,327.58/10,377
  6. Step 6: Final answer
    x = 6,334.14

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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.