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Finding the Fourth Proportional to 10,772.50, 16,079.78 and 9,980.95

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Solution

The fourth proportional to 10,772.50, 16,079.78 and 9,980.95 is: 14,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.50 : 16,079.78 = 9,980.95 : x
  2. Step 2: Convert to fraction form
    10,772.50/16,079.78 = 9,980.95/x
  3. Step 3: Cross multiply
    10,772.50x = 16,079.78 × 9,980.95
  4. Step 4: Simplify right side
    10,772.50x = 160,491,464.94
  5. Step 5: Solve for x
    x = 160,491,464.94/10,772.50
  6. Step 6: Final answer
    x = 14,898.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.