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Finding the Fourth Proportional to 38,502.76, 57,749.69 and 10,421.14

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Solution

The fourth proportional to 38,502.76, 57,749.69 and 10,421.14 is: 15,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.76 : 57,749.69 = 10,421.14 : x
  2. Step 2: Convert to fraction form
    38,502.76/57,749.69 = 10,421.14/x
  3. Step 3: Cross multiply
    38,502.76x = 57,749.69 × 10,421.14
  4. Step 4: Simplify right side
    38,502.76x = 601,817,604.45
  5. Step 5: Solve for x
    x = 601,817,604.45/38,502.76
  6. Step 6: Final answer
    x = 15,630.51

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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.