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Finding the Fourth Proportional to 15,777.34, 21,773 and 8,703.82

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Solution

The fourth proportional to 15,777.34, 21,773 and 8,703.82 is: 12,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.34 : 21,773 = 8,703.82 : x
  2. Step 2: Convert to fraction form
    15,777.34/21,773 = 8,703.82/x
  3. Step 3: Cross multiply
    15,777.34x = 21,773 × 8,703.82
  4. Step 4: Simplify right side
    15,777.34x = 189,508,272.86
  5. Step 5: Solve for x
    x = 189,508,272.86/15,777.34
  6. Step 6: Final answer
    x = 12,011.42

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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.