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Finding the Fourth Proportional to 19,911.72, 29,867.58 and 7,431.24

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Solution

The fourth proportional to 19,911.72, 29,867.58 and 7,431.24 is: 11,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911.72 : 29,867.58 = 7,431.24 : x
  2. Step 2: Convert to fraction form
    19,911.72/29,867.58 = 7,431.24/x
  3. Step 3: Cross multiply
    19,911.72x = 29,867.58 × 7,431.24
  4. Step 4: Simplify right side
    19,911.72x = 221,953,155.20
  5. Step 5: Solve for x
    x = 221,953,155.20/19,911.72
  6. Step 6: Final answer
    x = 11,146.86

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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.