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Finding the Fourth Proportional to 42,571, 63,856.77 and 14,869

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Solution

The fourth proportional to 42,571, 63,856.77 and 14,869 is: 22,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,571 : 63,856.77 = 14,869 : x
  2. Step 2: Convert to fraction form
    42,571/63,856.77 = 14,869/x
  3. Step 3: Cross multiply
    42,571x = 63,856.77 × 14,869
  4. Step 4: Simplify right side
    42,571x = 949,486,313.13
  5. Step 5: Solve for x
    x = 949,486,313.13/42,571
  6. Step 6: Final answer
    x = 22,303.59

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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.