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Finding the Fourth Proportional to 2,883.62, 4,325.60 and 909.56

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Solution

The fourth proportional to 2,883.62, 4,325.60 and 909.56 is: 1,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.62 : 4,325.60 = 909.56 : x
  2. Step 2: Convert to fraction form
    2,883.62/4,325.60 = 909.56/x
  3. Step 3: Cross multiply
    2,883.62x = 4,325.60 × 909.56
  4. Step 4: Simplify right side
    2,883.62x = 3,934,405.82
  5. Step 5: Solve for x
    x = 3,934,405.82/2,883.62
  6. Step 6: Final answer
    x = 1,364.40

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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.