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Finding the Fourth Proportional to 31,347.43, 47,020.93 and 7,973.66

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Solution

The fourth proportional to 31,347.43, 47,020.93 and 7,973.66 is: 11,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347.43 : 47,020.93 = 7,973.66 : x
  2. Step 2: Convert to fraction form
    31,347.43/47,020.93 = 7,973.66/x
  3. Step 3: Cross multiply
    31,347.43x = 47,020.93 × 7,973.66
  4. Step 4: Simplify right side
    31,347.43x = 374,928,908.70
  5. Step 5: Solve for x
    x = 374,928,908.70/31,347.43
  6. Step 6: Final answer
    x = 11,960.44

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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.