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Finding the Fourth Proportional to 14,921.78, 22,429.15 and 9,410.54

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Solution

The fourth proportional to 14,921.78, 22,429.15 and 9,410.54 is: 14,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.78 : 22,429.15 = 9,410.54 : x
  2. Step 2: Convert to fraction form
    14,921.78/22,429.15 = 9,410.54/x
  3. Step 3: Cross multiply
    14,921.78x = 22,429.15 × 9,410.54
  4. Step 4: Simplify right side
    14,921.78x = 211,070,277.57
  5. Step 5: Solve for x
    x = 211,070,277.57/14,921.78
  6. Step 6: Final answer
    x = 14,145.12

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1.5x scale

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.