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Finding the Fourth Proportional to 31,860.96, 47,731.48 and 18,674.16

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Solution

The fourth proportional to 31,860.96, 47,731.48 and 18,674.16 is: 27,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860.96 : 47,731.48 = 18,674.16 : x
  2. Step 2: Convert to fraction form
    31,860.96/47,731.48 = 18,674.16/x
  3. Step 3: Cross multiply
    31,860.96x = 47,731.48 × 18,674.16
  4. Step 4: Simplify right side
    31,860.96x = 891,345,294.56
  5. Step 5: Solve for x
    x = 891,345,294.56/31,860.96
  6. Step 6: Final answer
    x = 27,976.10

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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.