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Finding the Fourth Proportional to 19,778, 27,295.56 and 10,946

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Solution

The fourth proportional to 19,778, 27,295.56 and 10,946 is: 15,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778 : 27,295.56 = 10,946 : x
  2. Step 2: Convert to fraction form
    19,778/27,295.56 = 10,946/x
  3. Step 3: Cross multiply
    19,778x = 27,295.56 × 10,946
  4. Step 4: Simplify right side
    19,778x = 298,777,199.76
  5. Step 5: Solve for x
    x = 298,777,199.76/19,778
  6. Step 6: Final answer
    x = 15,106.54

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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.