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Finding the Fourth Proportional to 6,554.89, 9,833.89 and 2,857.78

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Solution

The fourth proportional to 6,554.89, 9,833.89 and 2,857.78 is: 4,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.89 : 9,833.89 = 2,857.78 : x
  2. Step 2: Convert to fraction form
    6,554.89/9,833.89 = 2,857.78/x
  3. Step 3: Cross multiply
    6,554.89x = 9,833.89 × 2,857.78
  4. Step 4: Simplify right side
    6,554.89x = 28,103,094.16
  5. Step 5: Solve for x
    x = 28,103,094.16/6,554.89
  6. Step 6: Final answer
    x = 4,287.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.