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Finding the Fourth Proportional to 1,705.87, 2,355.11 and 1,607.46

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Solution

The fourth proportional to 1,705.87, 2,355.11 and 1,607.46 is: 2,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.87 : 2,355.11 = 1,607.46 : x
  2. Step 2: Convert to fraction form
    1,705.87/2,355.11 = 1,607.46/x
  3. Step 3: Cross multiply
    1,705.87x = 2,355.11 × 1,607.46
  4. Step 4: Simplify right side
    1,705.87x = 3,785,725.31
  5. Step 5: Solve for x
    x = 3,785,725.31/1,705.87
  6. Step 6: Final answer
    x = 2,219.23

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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.