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Finding the Fourth Proportional to 6,457.25, 8,909.63 and 3,803.69

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Solution

The fourth proportional to 6,457.25, 8,909.63 and 3,803.69 is: 5,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.25 : 8,909.63 = 3,803.69 : x
  2. Step 2: Convert to fraction form
    6,457.25/8,909.63 = 3,803.69/x
  3. Step 3: Cross multiply
    6,457.25x = 8,909.63 × 3,803.69
  4. Step 4: Simplify right side
    6,457.25x = 33,889,470.53
  5. Step 5: Solve for x
    x = 33,889,470.53/6,457.25
  6. Step 6: Final answer
    x = 5,248.28

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Half scale
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Double scale
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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.