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Finding the Fourth Proportional to 9,914, 14,859.76 and 4,642.72

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Solution

The fourth proportional to 9,914, 14,859.76 and 4,642.72 is: 6,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914 : 14,859.76 = 4,642.72 : x
  2. Step 2: Convert to fraction form
    9,914/14,859.76 = 4,642.72/x
  3. Step 3: Cross multiply
    9,914x = 14,859.76 × 4,642.72
  4. Step 4: Simplify right side
    9,914x = 68,989,704.95
  5. Step 5: Solve for x
    x = 68,989,704.95/9,914
  6. Step 6: Final answer
    x = 6,958.82

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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.