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Finding the Fourth Proportional to 9,776.61, 14,665.79 and 2,756.70

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Solution

The fourth proportional to 9,776.61, 14,665.79 and 2,756.70 is: 4,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.61 : 14,665.79 = 2,756.70 : x
  2. Step 2: Convert to fraction form
    9,776.61/14,665.79 = 2,756.70/x
  3. Step 3: Cross multiply
    9,776.61x = 14,665.79 × 2,756.70
  4. Step 4: Simplify right side
    9,776.61x = 40,429,190.18
  5. Step 5: Solve for x
    x = 40,429,190.18/9,776.61
  6. Step 6: Final answer
    x = 4,135.30

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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.