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Finding the Fourth Proportional to 17,870.73, 26,815.13 and 8,509.00

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Solution

The fourth proportional to 17,870.73, 26,815.13 and 8,509.00 is: 12,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.73 : 26,815.13 = 8,509.00 : x
  2. Step 2: Convert to fraction form
    17,870.73/26,815.13 = 8,509.00/x
  3. Step 3: Cross multiply
    17,870.73x = 26,815.13 × 8,509.00
  4. Step 4: Simplify right side
    17,870.73x = 228,169,889.84
  5. Step 5: Solve for x
    x = 228,169,889.84/17,870.73
  6. Step 6: Final answer
    x = 12,767.80

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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.