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Finding the Fourth Proportional to 29,142.44, 43,713.66 and 9,421

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Solution

The fourth proportional to 29,142.44, 43,713.66 and 9,421 is: 14,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.44 : 43,713.66 = 9,421 : x
  2. Step 2: Convert to fraction form
    29,142.44/43,713.66 = 9,421/x
  3. Step 3: Cross multiply
    29,142.44x = 43,713.66 × 9,421
  4. Step 4: Simplify right side
    29,142.44x = 411,826,390.86
  5. Step 5: Solve for x
    x = 411,826,390.86/29,142.44
  6. Step 6: Final answer
    x = 14,131.50

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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.