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Finding the Fourth Proportional to 10,556.64, 15,800.62 and 7,782.20

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Solution

The fourth proportional to 10,556.64, 15,800.62 and 7,782.20 is: 11,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.64 : 15,800.62 = 7,782.20 : x
  2. Step 2: Convert to fraction form
    10,556.64/15,800.62 = 7,782.20/x
  3. Step 3: Cross multiply
    10,556.64x = 15,800.62 × 7,782.20
  4. Step 4: Simplify right side
    10,556.64x = 122,963,584.96
  5. Step 5: Solve for x
    x = 122,963,584.96/10,556.64
  6. Step 6: Final answer
    x = 11,647.99

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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.