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Finding the Fourth Proportional to 19,556, 29,334.48 and 7,077.20

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Solution

The fourth proportional to 19,556, 29,334.48 and 7,077.20 is: 10,615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,556 : 29,334.48 = 7,077.20 : x
  2. Step 2: Convert to fraction form
    19,556/29,334.48 = 7,077.20/x
  3. Step 3: Cross multiply
    19,556x = 29,334.48 × 7,077.20
  4. Step 4: Simplify right side
    19,556x = 207,605,981.86
  5. Step 5: Solve for x
    x = 207,605,981.86/19,556
  6. Step 6: Final answer
    x = 10,615.97

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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.