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Finding the Fourth Proportional to 9,693.28, 14,529.84 and 7,749.28

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Solution

The fourth proportional to 9,693.28, 14,529.84 and 7,749.28 is: 11,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.28 : 14,529.84 = 7,749.28 : x
  2. Step 2: Convert to fraction form
    9,693.28/14,529.84 = 7,749.28/x
  3. Step 3: Cross multiply
    9,693.28x = 14,529.84 × 7,749.28
  4. Step 4: Simplify right side
    9,693.28x = 112,595,798.52
  5. Step 5: Solve for x
    x = 112,595,798.52/9,693.28
  6. Step 6: Final answer
    x = 11,615.86

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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.