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Finding the Fourth Proportional to 18,885.77, 28,332.02 and 7,786.40

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Solution

The fourth proportional to 18,885.77, 28,332.02 and 7,786.40 is: 11,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,885.77 : 28,332.02 = 7,786.40 : x
  2. Step 2: Convert to fraction form
    18,885.77/28,332.02 = 7,786.40/x
  3. Step 3: Cross multiply
    18,885.77x = 28,332.02 × 7,786.40
  4. Step 4: Simplify right side
    18,885.77x = 220,604,502.64
  5. Step 5: Solve for x
    x = 220,604,502.64/18,885.77
  6. Step 6: Final answer
    x = 11,680.99

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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.