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Finding the Fourth Proportional to 10,571, 15,856.50 and 4,415

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Solution

The fourth proportional to 10,571, 15,856.50 and 4,415 is: 6,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571 : 15,856.50 = 4,415 : x
  2. Step 2: Convert to fraction form
    10,571/15,856.50 = 4,415/x
  3. Step 3: Cross multiply
    10,571x = 15,856.50 × 4,415
  4. Step 4: Simplify right side
    10,571x = 70,006,447.50
  5. Step 5: Solve for x
    x = 70,006,447.50/10,571
  6. Step 6: Final answer
    x = 6,622.50

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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.