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Finding the Fourth Proportional to 31,987.04, 47,923.10 and 18,832.24

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Solution

The fourth proportional to 31,987.04, 47,923.10 and 18,832.24 is: 28,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,987.04 : 47,923.10 = 18,832.24 : x
  2. Step 2: Convert to fraction form
    31,987.04/47,923.10 = 18,832.24/x
  3. Step 3: Cross multiply
    31,987.04x = 47,923.10 × 18,832.24
  4. Step 4: Simplify right side
    31,987.04x = 902,499,248.02
  5. Step 5: Solve for x
    x = 902,499,248.02/31,987.04
  6. Step 6: Final answer
    x = 28,214.53

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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.