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Finding the Fourth Proportional to 5,639.32, 7,784.80 and 3,754.24

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Solution

The fourth proportional to 5,639.32, 7,784.80 and 3,754.24 is: 5,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.32 : 7,784.80 = 3,754.24 : x
  2. Step 2: Convert to fraction form
    5,639.32/7,784.80 = 3,754.24/x
  3. Step 3: Cross multiply
    5,639.32x = 7,784.80 × 3,754.24
  4. Step 4: Simplify right side
    5,639.32x = 29,226,007.55
  5. Step 5: Solve for x
    x = 29,226,007.55/5,639.32
  6. Step 6: Final answer
    x = 5,182.54

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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.