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Finding the Fourth Proportional to 31,984.74, 47,987.72 and 9,798.33

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Solution

The fourth proportional to 31,984.74, 47,987.72 and 9,798.33 is: 14,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984.74 : 47,987.72 = 9,798.33 : x
  2. Step 2: Convert to fraction form
    31,984.74/47,987.72 = 9,798.33/x
  3. Step 3: Cross multiply
    31,984.74x = 47,987.72 × 9,798.33
  4. Step 4: Simplify right side
    31,984.74x = 470,199,467.52
  5. Step 5: Solve for x
    x = 470,199,467.52/31,984.74
  6. Step 6: Final answer
    x = 14,700.75

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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.