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Finding the Fourth Proportional to 6,992.48, 9,648.56 and 4,159.80

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Solution

The fourth proportional to 6,992.48, 9,648.56 and 4,159.80 is: 5,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.48 : 9,648.56 = 4,159.80 : x
  2. Step 2: Convert to fraction form
    6,992.48/9,648.56 = 4,159.80/x
  3. Step 3: Cross multiply
    6,992.48x = 9,648.56 × 4,159.80
  4. Step 4: Simplify right side
    6,992.48x = 40,136,079.89
  5. Step 5: Solve for x
    x = 40,136,079.89/6,992.48
  6. Step 6: Final answer
    x = 5,739.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.