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Finding the Fourth Proportional to 31,798, 47,697.32 and 9,611.56

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Solution

The fourth proportional to 31,798, 47,697.32 and 9,611.56 is: 14,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798 : 47,697.32 = 9,611.56 : x
  2. Step 2: Convert to fraction form
    31,798/47,697.32 = 9,611.56/x
  3. Step 3: Cross multiply
    31,798x = 47,697.32 × 9,611.56
  4. Step 4: Simplify right side
    31,798x = 458,445,653.02
  5. Step 5: Solve for x
    x = 458,445,653.02/31,798
  6. Step 6: Final answer
    x = 14,417.44

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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.