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Finding the Fourth Proportional to 31,509, 47,296.98 and 19,060.44

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Solution

The fourth proportional to 31,509, 47,296.98 and 19,060.44 is: 28,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509 : 47,296.98 = 19,060.44 : x
  2. Step 2: Convert to fraction form
    31,509/47,296.98 = 19,060.44/x
  3. Step 3: Cross multiply
    31,509x = 47,296.98 × 19,060.44
  4. Step 4: Simplify right side
    31,509x = 901,501,249.47
  5. Step 5: Solve for x
    x = 901,501,249.47/31,509
  6. Step 6: Final answer
    x = 28,610.91

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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.