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Finding the Fourth Proportional to 3,557, 4,908.56 and 2,064.82

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Solution

The fourth proportional to 3,557, 4,908.56 and 2,064.82 is: 2,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557 : 4,908.56 = 2,064.82 : x
  2. Step 2: Convert to fraction form
    3,557/4,908.56 = 2,064.82/x
  3. Step 3: Cross multiply
    3,557x = 4,908.56 × 2,064.82
  4. Step 4: Simplify right side
    3,557x = 10,135,292.86
  5. Step 5: Solve for x
    x = 10,135,292.86/3,557
  6. Step 6: Final answer
    x = 2,849.39

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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.