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Finding the Fourth Proportional to 42,902.76, 64,353.21 and 11,738.01

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Solution

The fourth proportional to 42,902.76, 64,353.21 and 11,738.01 is: 17,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,902.76 : 64,353.21 = 11,738.01 : x
  2. Step 2: Convert to fraction form
    42,902.76/64,353.21 = 11,738.01/x
  3. Step 3: Cross multiply
    42,902.76x = 64,353.21 × 11,738.01
  4. Step 4: Simplify right side
    42,902.76x = 755,378,622.51
  5. Step 5: Solve for x
    x = 755,378,622.51/42,902.76
  6. Step 6: Final answer
    x = 17,606.76

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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.