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Finding the Fourth Proportional to 9,911, 14,863.06 and 2,889.12

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Solution

The fourth proportional to 9,911, 14,863.06 and 2,889.12 is: 4,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911 : 14,863.06 = 2,889.12 : x
  2. Step 2: Convert to fraction form
    9,911/14,863.06 = 2,889.12/x
  3. Step 3: Cross multiply
    9,911x = 14,863.06 × 2,889.12
  4. Step 4: Simplify right side
    9,911x = 42,941,163.91
  5. Step 5: Solve for x
    x = 42,941,163.91/9,911
  6. Step 6: Final answer
    x = 4,332.68

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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.