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Finding the Fourth Proportional to 8,454.31, 11,666.91 and 4,728.31

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Solution

The fourth proportional to 8,454.31, 11,666.91 and 4,728.31 is: 6,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.31 : 11,666.91 = 4,728.31 : x
  2. Step 2: Convert to fraction form
    8,454.31/11,666.91 = 4,728.31/x
  3. Step 3: Cross multiply
    8,454.31x = 11,666.91 × 4,728.31
  4. Step 4: Simplify right side
    8,454.31x = 55,164,767.22
  5. Step 5: Solve for x
    x = 55,164,767.22/8,454.31
  6. Step 6: Final answer
    x = 6,525.05

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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.