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Finding the Fourth Proportional to 3,045.77, 4,204.05 and 1,787.09

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Solution

The fourth proportional to 3,045.77, 4,204.05 and 1,787.09 is: 2,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.77 : 4,204.05 = 1,787.09 : x
  2. Step 2: Convert to fraction form
    3,045.77/4,204.05 = 1,787.09/x
  3. Step 3: Cross multiply
    3,045.77x = 4,204.05 × 1,787.09
  4. Step 4: Simplify right side
    3,045.77x = 7,513,015.71
  5. Step 5: Solve for x
    x = 7,513,015.71/3,045.77
  6. Step 6: Final answer
    x = 2,466.71

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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.