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Finding the Fourth Proportional to 2,787.61, 4,180.64 and 839.53

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Solution

The fourth proportional to 2,787.61, 4,180.64 and 839.53 is: 1,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.61 : 4,180.64 = 839.53 : x
  2. Step 2: Convert to fraction form
    2,787.61/4,180.64 = 839.53/x
  3. Step 3: Cross multiply
    2,787.61x = 4,180.64 × 839.53
  4. Step 4: Simplify right side
    2,787.61x = 3,509,768.50
  5. Step 5: Solve for x
    x = 3,509,768.50/2,787.61
  6. Step 6: Final answer
    x = 1,259.06

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1.5x scale

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.