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Finding the Fourth Proportional to 9,200.32, 12,695.40 and 5,220.40

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Solution

The fourth proportional to 9,200.32, 12,695.40 and 5,220.40 is: 7,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.32 : 12,695.40 = 5,220.40 : x
  2. Step 2: Convert to fraction form
    9,200.32/12,695.40 = 5,220.40/x
  3. Step 3: Cross multiply
    9,200.32x = 12,695.40 × 5,220.40
  4. Step 4: Simplify right side
    9,200.32x = 66,275,066.16
  5. Step 5: Solve for x
    x = 66,275,066.16/9,200.32
  6. Step 6: Final answer
    x = 7,203.56

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1.5x scale

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.