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Finding the Fourth Proportional to 17,880.14, 26,819.75 and 8,526.77

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Solution

The fourth proportional to 17,880.14, 26,819.75 and 8,526.77 is: 12,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.14 : 26,819.75 = 8,526.77 : x
  2. Step 2: Convert to fraction form
    17,880.14/26,819.75 = 8,526.77/x
  3. Step 3: Cross multiply
    17,880.14x = 26,819.75 × 8,526.77
  4. Step 4: Simplify right side
    17,880.14x = 228,685,705.61
  5. Step 5: Solve for x
    x = 228,685,705.61/17,880.14
  6. Step 6: Final answer
    x = 12,789.93

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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.