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Finding the Fourth Proportional to 13,775.78, 20,666.52 and 7,200.20

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Solution

The fourth proportional to 13,775.78, 20,666.52 and 7,200.20 is: 10,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.78 : 20,666.52 = 7,200.20 : x
  2. Step 2: Convert to fraction form
    13,775.78/20,666.52 = 7,200.20/x
  3. Step 3: Cross multiply
    13,775.78x = 20,666.52 × 7,200.20
  4. Step 4: Simplify right side
    13,775.78x = 148,803,077.30
  5. Step 5: Solve for x
    x = 148,803,077.30/13,775.78
  6. Step 6: Final answer
    x = 10,801.79

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1.5x scale

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.