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Finding the Fourth Proportional to 2,809.58, 4,214.80 and 909.27

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Solution

The fourth proportional to 2,809.58, 4,214.80 and 909.27 is: 1,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.58 : 4,214.80 = 909.27 : x
  2. Step 2: Convert to fraction form
    2,809.58/4,214.80 = 909.27/x
  3. Step 3: Cross multiply
    2,809.58x = 4,214.80 × 909.27
  4. Step 4: Simplify right side
    2,809.58x = 3,832,386.65
  5. Step 5: Solve for x
    x = 3,832,386.65/2,809.58
  6. Step 6: Final answer
    x = 1,364.04

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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.