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Finding the Fourth Proportional to 19,742, 29,627.56 and 9,353.76

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Solution

The fourth proportional to 19,742, 29,627.56 and 9,353.76 is: 14,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742 : 29,627.56 = 9,353.76 : x
  2. Step 2: Convert to fraction form
    19,742/29,627.56 = 9,353.76/x
  3. Step 3: Cross multiply
    19,742x = 29,627.56 × 9,353.76
  4. Step 4: Simplify right side
    19,742x = 277,129,085.63
  5. Step 5: Solve for x
    x = 277,129,085.63/19,742
  6. Step 6: Final answer
    x = 14,037.54

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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.