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Finding the Fourth Proportional to 19,953.60, 29,931.02 and 7,471.24

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Solution

The fourth proportional to 19,953.60, 29,931.02 and 7,471.24 is: 11,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,953.60 : 29,931.02 = 7,471.24 : x
  2. Step 2: Convert to fraction form
    19,953.60/29,931.02 = 7,471.24/x
  3. Step 3: Cross multiply
    19,953.60x = 29,931.02 × 7,471.24
  4. Step 4: Simplify right side
    19,953.60x = 223,621,833.86
  5. Step 5: Solve for x
    x = 223,621,833.86/19,953.60
  6. Step 6: Final answer
    x = 11,207.09

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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.