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Finding the Fourth Proportional to 12,773.76, 19,143.77 and 9,800.84

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Solution

The fourth proportional to 12,773.76, 19,143.77 and 9,800.84 is: 14,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.76 : 19,143.77 = 9,800.84 : x
  2. Step 2: Convert to fraction form
    12,773.76/19,143.77 = 9,800.84/x
  3. Step 3: Cross multiply
    12,773.76x = 19,143.77 × 9,800.84
  4. Step 4: Simplify right side
    12,773.76x = 187,624,882.04
  5. Step 5: Solve for x
    x = 187,624,882.04/12,773.76
  6. Step 6: Final answer
    x = 14,688.30

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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.