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Finding the Fourth Proportional to 29,138, 43,707 and 7,250

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Solution

The fourth proportional to 29,138, 43,707 and 7,250 is: 10,875

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138 : 43,707 = 7,250 : x
  2. Step 2: Convert to fraction form
    29,138/43,707 = 7,250/x
  3. Step 3: Cross multiply
    29,138x = 43,707 × 7,250
  4. Step 4: Simplify right side
    29,138x = 316,875,750
  5. Step 5: Solve for x
    x = 316,875,750/29,138
  6. Step 6: Final answer
    x = 10,875

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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.