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Finding the Fourth Proportional to 8,203.66, 11,320.10 and 4,666.12

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Solution

The fourth proportional to 8,203.66, 11,320.10 and 4,666.12 is: 6,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.66 : 11,320.10 = 4,666.12 : x
  2. Step 2: Convert to fraction form
    8,203.66/11,320.10 = 4,666.12/x
  3. Step 3: Cross multiply
    8,203.66x = 11,320.10 × 4,666.12
  4. Step 4: Simplify right side
    8,203.66x = 52,820,945.01
  5. Step 5: Solve for x
    x = 52,820,945.01/8,203.66
  6. Step 6: Final answer
    x = 6,438.70

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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.