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Finding the Fourth Proportional to 19,384.79, 29,088.17 and 8,290.49

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Solution

The fourth proportional to 19,384.79, 29,088.17 and 8,290.49 is: 12,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384.79 : 29,088.17 = 8,290.49 : x
  2. Step 2: Convert to fraction form
    19,384.79/29,088.17 = 8,290.49/x
  3. Step 3: Cross multiply
    19,384.79x = 29,088.17 × 8,290.49
  4. Step 4: Simplify right side
    19,384.79x = 241,155,141.05
  5. Step 5: Solve for x
    x = 241,155,141.05/19,384.79
  6. Step 6: Final answer
    x = 12,440.43

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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.