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Finding the Fourth Proportional to 6,643.32, 9,171.70 and 5,905.16

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Solution

The fourth proportional to 6,643.32, 9,171.70 and 5,905.16 is: 8,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.32 : 9,171.70 = 5,905.16 : x
  2. Step 2: Convert to fraction form
    6,643.32/9,171.70 = 5,905.16/x
  3. Step 3: Cross multiply
    6,643.32x = 9,171.70 × 5,905.16
  4. Step 4: Simplify right side
    6,643.32x = 54,160,355.97
  5. Step 5: Solve for x
    x = 54,160,355.97/6,643.32
  6. Step 6: Final answer
    x = 8,152.60

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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.