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Finding the Fourth Proportional to 11,384.53, 15,709.88 and 7,135.44

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Solution

The fourth proportional to 11,384.53, 15,709.88 and 7,135.44 is: 9,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.53 : 15,709.88 = 7,135.44 : x
  2. Step 2: Convert to fraction form
    11,384.53/15,709.88 = 7,135.44/x
  3. Step 3: Cross multiply
    11,384.53x = 15,709.88 × 7,135.44
  4. Step 4: Simplify right side
    11,384.53x = 112,096,865.07
  5. Step 5: Solve for x
    x = 112,096,865.07/11,384.53
  6. Step 6: Final answer
    x = 9,846.42

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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.