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Finding the Fourth Proportional to 2,906.58, 4,009.70 and 1,787.06

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Solution

The fourth proportional to 2,906.58, 4,009.70 and 1,787.06 is: 2,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.58 : 4,009.70 = 1,787.06 : x
  2. Step 2: Convert to fraction form
    2,906.58/4,009.70 = 1,787.06/x
  3. Step 3: Cross multiply
    2,906.58x = 4,009.70 × 1,787.06
  4. Step 4: Simplify right side
    2,906.58x = 7,165,574.48
  5. Step 5: Solve for x
    x = 7,165,574.48/2,906.58
  6. Step 6: Final answer
    x = 2,465.29

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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.