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Finding the Fourth Proportional to 6,439.32, 9,639.54 and 5,823.32

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Solution

The fourth proportional to 6,439.32, 9,639.54 and 5,823.32 is: 8,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.32 : 9,639.54 = 5,823.32 : x
  2. Step 2: Convert to fraction form
    6,439.32/9,639.54 = 5,823.32/x
  3. Step 3: Cross multiply
    6,439.32x = 9,639.54 × 5,823.32
  4. Step 4: Simplify right side
    6,439.32x = 56,134,077.88
  5. Step 5: Solve for x
    x = 56,134,077.88/6,439.32
  6. Step 6: Final answer
    x = 8,717.39

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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.