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Finding the Fourth Proportional to 21,446.91, 32,174.64 and 7,407.45

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Solution

The fourth proportional to 21,446.91, 32,174.64 and 7,407.45 is: 11,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,446.91 : 32,174.64 = 7,407.45 : x
  2. Step 2: Convert to fraction form
    21,446.91/32,174.64 = 7,407.45/x
  3. Step 3: Cross multiply
    21,446.91x = 32,174.64 × 7,407.45
  4. Step 4: Simplify right side
    21,446.91x = 238,331,876.19
  5. Step 5: Solve for x
    x = 238,331,876.19/21,446.91
  6. Step 6: Final answer
    x = 11,112.65

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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.