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Finding the Fourth Proportional to 9,765.90, 13,475.16 and 8,270.64

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Solution

The fourth proportional to 9,765.90, 13,475.16 and 8,270.64 is: 11,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.90 : 13,475.16 = 8,270.64 : x
  2. Step 2: Convert to fraction form
    9,765.90/13,475.16 = 8,270.64/x
  3. Step 3: Cross multiply
    9,765.90x = 13,475.16 × 8,270.64
  4. Step 4: Simplify right side
    9,765.90x = 111,448,197.30
  5. Step 5: Solve for x
    x = 111,448,197.30/9,765.90
  6. Step 6: Final answer
    x = 11,411.97

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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.