Home / 2,140.02-3,208.64-1,407.38

Finding the Fourth Proportional to 2,140.02, 3,208.64 and 1,407.38

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Solution

The fourth proportional to 2,140.02, 3,208.64 and 1,407.38 is: 2,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.02 : 3,208.64 = 1,407.38 : x
  2. Step 2: Convert to fraction form
    2,140.02/3,208.64 = 1,407.38/x
  3. Step 3: Cross multiply
    2,140.02x = 3,208.64 × 1,407.38
  4. Step 4: Simplify right side
    2,140.02x = 4,515,752.68
  5. Step 5: Solve for x
    x = 4,515,752.68/2,140.02
  6. Step 6: Final answer
    x = 2,110.15

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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.