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Finding the Fourth Proportional to 15,994, 22,071.68 and 8,920

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Solution

The fourth proportional to 15,994, 22,071.68 and 8,920 is: 12,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994 : 22,071.68 = 8,920 : x
  2. Step 2: Convert to fraction form
    15,994/22,071.68 = 8,920/x
  3. Step 3: Cross multiply
    15,994x = 22,071.68 × 8,920
  4. Step 4: Simplify right side
    15,994x = 196,879,385.60
  5. Step 5: Solve for x
    x = 196,879,385.60/15,994
  6. Step 6: Final answer
    x = 12,309.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.