Home / 2,124.02-3,184.14-824.60

Finding the Fourth Proportional to 2,124.02, 3,184.14 and 824.60

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Solution

The fourth proportional to 2,124.02, 3,184.14 and 824.60 is: 1,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.02 : 3,184.14 = 824.60 : x
  2. Step 2: Convert to fraction form
    2,124.02/3,184.14 = 824.60/x
  3. Step 3: Cross multiply
    2,124.02x = 3,184.14 × 824.60
  4. Step 4: Simplify right side
    2,124.02x = 2,625,641.84
  5. Step 5: Solve for x
    x = 2,625,641.84/2,124.02
  6. Step 6: Final answer
    x = 1,236.17

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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.