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Finding the Fourth Proportional to 17,790.65, 26,686.46 and 8,428.40

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Solution

The fourth proportional to 17,790.65, 26,686.46 and 8,428.40 is: 12,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,790.65 : 26,686.46 = 8,428.40 : x
  2. Step 2: Convert to fraction form
    17,790.65/26,686.46 = 8,428.40/x
  3. Step 3: Cross multiply
    17,790.65x = 26,686.46 × 8,428.40
  4. Step 4: Simplify right side
    17,790.65x = 224,924,184.04
  5. Step 5: Solve for x
    x = 224,924,184.04/17,790.65
  6. Step 6: Final answer
    x = 12,642.83

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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.