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Finding the Fourth Proportional to 2,783.76, 3,839.76 and 1,787.46

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Solution

The fourth proportional to 2,783.76, 3,839.76 and 1,787.46 is: 2,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.76 : 3,839.76 = 1,787.46 : x
  2. Step 2: Convert to fraction form
    2,783.76/3,839.76 = 1,787.46/x
  3. Step 3: Cross multiply
    2,783.76x = 3,839.76 × 1,787.46
  4. Step 4: Simplify right side
    2,783.76x = 6,863,417.41
  5. Step 5: Solve for x
    x = 6,863,417.41/2,783.76
  6. Step 6: Final answer
    x = 2,465.52

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1.5x scale

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.