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Finding the Fourth Proportional to 2,083.84, 3,125.74 and 623.02

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Solution

The fourth proportional to 2,083.84, 3,125.74 and 623.02 is: 934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.84 : 3,125.74 = 623.02 : x
  2. Step 2: Convert to fraction form
    2,083.84/3,125.74 = 623.02/x
  3. Step 3: Cross multiply
    2,083.84x = 3,125.74 × 623.02
  4. Step 4: Simplify right side
    2,083.84x = 1,947,398.53
  5. Step 5: Solve for x
    x = 1,947,398.53/2,083.84
  6. Step 6: Final answer
    x = 934.52

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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.