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Finding the Fourth Proportional to 10,596.42, 15,889.50 and 6,384.42

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Solution

The fourth proportional to 10,596.42, 15,889.50 and 6,384.42 is: 9,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.42 : 15,889.50 = 6,384.42 : x
  2. Step 2: Convert to fraction form
    10,596.42/15,889.50 = 6,384.42/x
  3. Step 3: Cross multiply
    10,596.42x = 15,889.50 × 6,384.42
  4. Step 4: Simplify right side
    10,596.42x = 101,445,241.59
  5. Step 5: Solve for x
    x = 101,445,241.59/10,596.42
  6. Step 6: Final answer
    x = 9,573.54

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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.