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Finding the Fourth Proportional to 6,457.68, 8,911.80 and 3,663

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Solution

The fourth proportional to 6,457.68, 8,911.80 and 3,663 is: 5,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.68 : 8,911.80 = 3,663 : x
  2. Step 2: Convert to fraction form
    6,457.68/8,911.80 = 3,663/x
  3. Step 3: Cross multiply
    6,457.68x = 8,911.80 × 3,663
  4. Step 4: Simplify right side
    6,457.68x = 32,643,923.40
  5. Step 5: Solve for x
    x = 32,643,923.40/6,457.68
  6. Step 6: Final answer
    x = 5,055.05

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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.