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Finding the Fourth Proportional to 7,415, 11,127.96 and 3,519.42

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Solution

The fourth proportional to 7,415, 11,127.96 and 3,519.42 is: 5,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415 : 11,127.96 = 3,519.42 : x
  2. Step 2: Convert to fraction form
    7,415/11,127.96 = 3,519.42/x
  3. Step 3: Cross multiply
    7,415x = 11,127.96 × 3,519.42
  4. Step 4: Simplify right side
    7,415x = 39,163,964.98
  5. Step 5: Solve for x
    x = 39,163,964.98/7,415
  6. Step 6: Final answer
    x = 5,281.72

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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.