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Finding the Fourth Proportional to 5,439, 7,505.46 and 3,200.44

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Solution

The fourth proportional to 5,439, 7,505.46 and 3,200.44 is: 4,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439 : 7,505.46 = 3,200.44 : x
  2. Step 2: Convert to fraction form
    5,439/7,505.46 = 3,200.44/x
  3. Step 3: Cross multiply
    5,439x = 7,505.46 × 3,200.44
  4. Step 4: Simplify right side
    5,439x = 24,020,774.40
  5. Step 5: Solve for x
    x = 24,020,774.40/5,439
  6. Step 6: Final answer
    x = 4,416.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.