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Finding the Fourth Proportional to 3,557.42, 4,909.28 and 1,964.03

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Solution

The fourth proportional to 3,557.42, 4,909.28 and 1,964.03 is: 2,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.42 : 4,909.28 = 1,964.03 : x
  2. Step 2: Convert to fraction form
    3,557.42/4,909.28 = 1,964.03/x
  3. Step 3: Cross multiply
    3,557.42x = 4,909.28 × 1,964.03
  4. Step 4: Simplify right side
    3,557.42x = 9,641,975.65
  5. Step 5: Solve for x
    x = 9,641,975.65/3,557.42
  6. Step 6: Final answer
    x = 2,710.39

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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.