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Finding the Fourth Proportional to 1,914.31, 2,870.85 and 744.23

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Solution

The fourth proportional to 1,914.31, 2,870.85 and 744.23 is: 1,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.31 : 2,870.85 = 744.23 : x
  2. Step 2: Convert to fraction form
    1,914.31/2,870.85 = 744.23/x
  3. Step 3: Cross multiply
    1,914.31x = 2,870.85 × 744.23
  4. Step 4: Simplify right side
    1,914.31x = 2,136,579.87
  5. Step 5: Solve for x
    x = 2,136,579.87/1,914.31
  6. Step 6: Final answer
    x = 1,116.11

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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.