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Finding the Fourth Proportional to 8,722.58, 13,084.00 and 8,045.51

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Solution

The fourth proportional to 8,722.58, 13,084.00 and 8,045.51 is: 12,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.58 : 13,084.00 = 8,045.51 : x
  2. Step 2: Convert to fraction form
    8,722.58/13,084.00 = 8,045.51/x
  3. Step 3: Cross multiply
    8,722.58x = 13,084.00 × 8,045.51
  4. Step 4: Simplify right side
    8,722.58x = 105,267,367.31
  5. Step 5: Solve for x
    x = 105,267,367.31/8,722.58
  6. Step 6: Final answer
    x = 12,068.38

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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.