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Finding the Fourth Proportional to 6,439.64, 9,601.78 and 6,323

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Solution

The fourth proportional to 6,439.64, 9,601.78 and 6,323 is: 9,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.64 : 9,601.78 = 6,323 : x
  2. Step 2: Convert to fraction form
    6,439.64/9,601.78 = 6,323/x
  3. Step 3: Cross multiply
    6,439.64x = 9,601.78 × 6,323
  4. Step 4: Simplify right side
    6,439.64x = 60,712,054.94
  5. Step 5: Solve for x
    x = 60,712,054.94/6,439.64
  6. Step 6: Final answer
    x = 9,427.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.