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Finding the Fourth Proportional to 9,200.80, 13,804.08 and 5,507.20

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Solution

The fourth proportional to 9,200.80, 13,804.08 and 5,507.20 is: 8,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.80 : 13,804.08 = 5,507.20 : x
  2. Step 2: Convert to fraction form
    9,200.80/13,804.08 = 5,507.20/x
  3. Step 3: Cross multiply
    9,200.80x = 13,804.08 × 5,507.20
  4. Step 4: Simplify right side
    9,200.80x = 76,021,829.38
  5. Step 5: Solve for x
    x = 76,021,829.38/9,200.80
  6. Step 6: Final answer
    x = 8,262.52

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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.