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Finding the Fourth Proportional to 45,871.81, 68,807.10 and 12,591.84

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Solution

The fourth proportional to 45,871.81, 68,807.10 and 12,591.84 is: 18,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,871.81 : 68,807.10 = 12,591.84 : x
  2. Step 2: Convert to fraction form
    45,871.81/68,807.10 = 12,591.84/x
  3. Step 3: Cross multiply
    45,871.81x = 68,807.10 × 12,591.84
  4. Step 4: Simplify right side
    45,871.81x = 866,407,994.06
  5. Step 5: Solve for x
    x = 866,407,994.06/45,871.81
  6. Step 6: Final answer
    x = 18,887.59

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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.