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Finding the Fourth Proportional to 29,003, 43,504.50 and 12,587

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Solution

The fourth proportional to 29,003, 43,504.50 and 12,587 is: 18,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,003 : 43,504.50 = 12,587 : x
  2. Step 2: Convert to fraction form
    29,003/43,504.50 = 12,587/x
  3. Step 3: Cross multiply
    29,003x = 43,504.50 × 12,587
  4. Step 4: Simplify right side
    29,003x = 547,591,141.50
  5. Step 5: Solve for x
    x = 547,591,141.50/29,003
  6. Step 6: Final answer
    x = 18,880.50

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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.