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Finding the Fourth Proportional to 17,646, 26,475.90 and 7,778.34

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Solution

The fourth proportional to 17,646, 26,475.90 and 7,778.34 is: 11,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646 : 26,475.90 = 7,778.34 : x
  2. Step 2: Convert to fraction form
    17,646/26,475.90 = 7,778.34/x
  3. Step 3: Cross multiply
    17,646x = 26,475.90 × 7,778.34
  4. Step 4: Simplify right side
    17,646x = 205,938,552.01
  5. Step 5: Solve for x
    x = 205,938,552.01/17,646
  6. Step 6: Final answer
    x = 11,670.55

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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.