Home / 2,078.02-3,116.99-538.98

Finding the Fourth Proportional to 2,078.02, 3,116.99 and 538.98

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Solution

The fourth proportional to 2,078.02, 3,116.99 and 538.98 is: 808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.02 : 3,116.99 = 538.98 : x
  2. Step 2: Convert to fraction form
    2,078.02/3,116.99 = 538.98/x
  3. Step 3: Cross multiply
    2,078.02x = 3,116.99 × 538.98
  4. Step 4: Simplify right side
    2,078.02x = 1,679,995.27
  5. Step 5: Solve for x
    x = 1,679,995.27/2,078.02
  6. Step 6: Final answer
    x = 808.46

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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.