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Finding the Fourth Proportional to 15,773, 21,766.74 and 8,699.36

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Solution

The fourth proportional to 15,773, 21,766.74 and 8,699.36 is: 12,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773 : 21,766.74 = 8,699.36 : x
  2. Step 2: Convert to fraction form
    15,773/21,766.74 = 8,699.36/x
  3. Step 3: Cross multiply
    15,773x = 21,766.74 × 8,699.36
  4. Step 4: Simplify right side
    15,773x = 189,356,707.29
  5. Step 5: Solve for x
    x = 189,356,707.29/15,773
  6. Step 6: Final answer
    x = 12,005.12

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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.