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Finding the Fourth Proportional to 31,342.04, 43,245.04 and 17,909

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Solution

The fourth proportional to 31,342.04, 43,245.04 and 17,909 is: 24,710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.04 : 43,245.04 = 17,909 : x
  2. Step 2: Convert to fraction form
    31,342.04/43,245.04 = 17,909/x
  3. Step 3: Cross multiply
    31,342.04x = 43,245.04 × 17,909
  4. Step 4: Simplify right side
    31,342.04x = 774,475,421.36
  5. Step 5: Solve for x
    x = 774,475,421.36/31,342.04
  6. Step 6: Final answer
    x = 24,710.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.