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Finding the Fourth Proportional to 2,669.31, 4,004.30 and 914.65

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Solution

The fourth proportional to 2,669.31, 4,004.30 and 914.65 is: 1,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.31 : 4,004.30 = 914.65 : x
  2. Step 2: Convert to fraction form
    2,669.31/4,004.30 = 914.65/x
  3. Step 3: Cross multiply
    2,669.31x = 4,004.30 × 914.65
  4. Step 4: Simplify right side
    2,669.31x = 3,662,533.00
  5. Step 5: Solve for x
    x = 3,662,533.00/2,669.31
  6. Step 6: Final answer
    x = 1,372.09

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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.