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Finding the Fourth Proportional to 9,765.12, 14,633.28 and 7,288.32

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Solution

The fourth proportional to 9,765.12, 14,633.28 and 7,288.32 is: 10,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.12 : 14,633.28 = 7,288.32 : x
  2. Step 2: Convert to fraction form
    9,765.12/14,633.28 = 7,288.32/x
  3. Step 3: Cross multiply
    9,765.12x = 14,633.28 × 7,288.32
  4. Step 4: Simplify right side
    9,765.12x = 106,652,027.29
  5. Step 5: Solve for x
    x = 106,652,027.29/9,765.12
  6. Step 6: Final answer
    x = 10,921.73

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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.