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Finding the Fourth Proportional to 15,770.21, 21,762.95 and 8,696.61

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Solution

The fourth proportional to 15,770.21, 21,762.95 and 8,696.61 is: 12,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.21 : 21,762.95 = 8,696.61 : x
  2. Step 2: Convert to fraction form
    15,770.21/21,762.95 = 8,696.61/x
  3. Step 3: Cross multiply
    15,770.21x = 21,762.95 × 8,696.61
  4. Step 4: Simplify right side
    15,770.21x = 189,263,845.12
  5. Step 5: Solve for x
    x = 189,263,845.12/15,770.21
  6. Step 6: Final answer
    x = 12,001.36

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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.