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Finding the Fourth Proportional to 9,889.32, 13,647.24 and 5,910.24

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Solution

The fourth proportional to 9,889.32, 13,647.24 and 5,910.24 is: 8,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.32 : 13,647.24 = 5,910.24 : x
  2. Step 2: Convert to fraction form
    9,889.32/13,647.24 = 5,910.24/x
  3. Step 3: Cross multiply
    9,889.32x = 13,647.24 × 5,910.24
  4. Step 4: Simplify right side
    9,889.32x = 80,658,463.74
  5. Step 5: Solve for x
    x = 80,658,463.74/9,889.32
  6. Step 6: Final answer
    x = 8,156.12

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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.