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Finding the Fourth Proportional to 6,553.95, 9,828.79 and 2,855.08

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Solution

The fourth proportional to 6,553.95, 9,828.79 and 2,855.08 is: 4,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.95 : 9,828.79 = 2,855.08 : x
  2. Step 2: Convert to fraction form
    6,553.95/9,828.79 = 2,855.08/x
  3. Step 3: Cross multiply
    6,553.95x = 9,828.79 × 2,855.08
  4. Step 4: Simplify right side
    6,553.95x = 28,061,981.75
  5. Step 5: Solve for x
    x = 28,061,981.75/6,553.95
  6. Step 6: Final answer
    x = 4,281.69

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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.