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Finding the Fourth Proportional to 9,966.75, 14,956.61 and 3,810.75

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Solution

The fourth proportional to 9,966.75, 14,956.61 and 3,810.75 is: 5,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.75 : 14,956.61 = 3,810.75 : x
  2. Step 2: Convert to fraction form
    9,966.75/14,956.61 = 3,810.75/x
  3. Step 3: Cross multiply
    9,966.75x = 14,956.61 × 3,810.75
  4. Step 4: Simplify right side
    9,966.75x = 56,995,882.50
  5. Step 5: Solve for x
    x = 56,995,882.50/9,966.75
  6. Step 6: Final answer
    x = 5,718.60

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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.