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Finding the Fourth Proportional to 31,444, 47,145.60 and 16,659.88

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Solution

The fourth proportional to 31,444, 47,145.60 and 16,659.88 is: 24,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,444 : 47,145.60 = 16,659.88 : x
  2. Step 2: Convert to fraction form
    31,444/47,145.60 = 16,659.88/x
  3. Step 3: Cross multiply
    31,444x = 47,145.60 × 16,659.88
  4. Step 4: Simplify right side
    31,444x = 785,440,038.53
  5. Step 5: Solve for x
    x = 785,440,038.53/31,444
  6. Step 6: Final answer
    x = 24,979.01

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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.