Home / 2,975.31-4,106.02-1,649.13

Finding the Fourth Proportional to 2,975.31, 4,106.02 and 1,649.13

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Solution

The fourth proportional to 2,975.31, 4,106.02 and 1,649.13 is: 2,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.31 : 4,106.02 = 1,649.13 : x
  2. Step 2: Convert to fraction form
    2,975.31/4,106.02 = 1,649.13/x
  3. Step 3: Cross multiply
    2,975.31x = 4,106.02 × 1,649.13
  4. Step 4: Simplify right side
    2,975.31x = 6,771,374.34
  5. Step 5: Solve for x
    x = 6,771,374.34/2,975.31
  6. Step 6: Final answer
    x = 2,275.86

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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.