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Finding the Fourth Proportional to 8,281, 11,427.86 and 4,555.08

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Solution

The fourth proportional to 8,281, 11,427.86 and 4,555.08 is: 6,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281 : 11,427.86 = 4,555.08 : x
  2. Step 2: Convert to fraction form
    8,281/11,427.86 = 4,555.08/x
  3. Step 3: Cross multiply
    8,281x = 11,427.86 × 4,555.08
  4. Step 4: Simplify right side
    8,281x = 52,054,816.53
  5. Step 5: Solve for x
    x = 52,054,816.53/8,281
  6. Step 6: Final answer
    x = 6,286.05

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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.