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Finding the Fourth Proportional to 3,499.98, 4,829.40 and 1,987.47

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Solution

The fourth proportional to 3,499.98, 4,829.40 and 1,987.47 is: 2,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.98 : 4,829.40 = 1,987.47 : x
  2. Step 2: Convert to fraction form
    3,499.98/4,829.40 = 1,987.47/x
  3. Step 3: Cross multiply
    3,499.98x = 4,829.40 × 1,987.47
  4. Step 4: Simplify right side
    3,499.98x = 9,598,287.62
  5. Step 5: Solve for x
    x = 9,598,287.62/3,499.98
  6. Step 6: Final answer
    x = 2,742.38

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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.