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Finding the Fourth Proportional to 7,178.42, 9,907.80 and 4,529.42

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Solution

The fourth proportional to 7,178.42, 9,907.80 and 4,529.42 is: 6,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.42 : 9,907.80 = 4,529.42 : x
  2. Step 2: Convert to fraction form
    7,178.42/9,907.80 = 4,529.42/x
  3. Step 3: Cross multiply
    7,178.42x = 9,907.80 × 4,529.42
  4. Step 4: Simplify right side
    7,178.42x = 44,876,537.94
  5. Step 5: Solve for x
    x = 44,876,537.94/7,178.42
  6. Step 6: Final answer
    x = 6,251.59

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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.