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Finding the Fourth Proportional to 2,909.65, 4,353.46 and 1,784.23

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Solution

The fourth proportional to 2,909.65, 4,353.46 and 1,784.23 is: 2,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.65 : 4,353.46 = 1,784.23 : x
  2. Step 2: Convert to fraction form
    2,909.65/4,353.46 = 1,784.23/x
  3. Step 3: Cross multiply
    2,909.65x = 4,353.46 × 1,784.23
  4. Step 4: Simplify right side
    2,909.65x = 7,767,573.94
  5. Step 5: Solve for x
    x = 7,767,573.94/2,909.65
  6. Step 6: Final answer
    x = 2,669.59

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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.