Home / 2,083.90-3,124.02-784.46

Finding the Fourth Proportional to 2,083.90, 3,124.02 and 784.46

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Solution

The fourth proportional to 2,083.90, 3,124.02 and 784.46 is: 1,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.90 : 3,124.02 = 784.46 : x
  2. Step 2: Convert to fraction form
    2,083.90/3,124.02 = 784.46/x
  3. Step 3: Cross multiply
    2,083.90x = 3,124.02 × 784.46
  4. Step 4: Simplify right side
    2,083.90x = 2,450,653.11
  5. Step 5: Solve for x
    x = 2,450,653.11/2,083.90
  6. Step 6: Final answer
    x = 1,176.00

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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.