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Finding the Fourth Proportional to 9,728.81, 13,425 and 5,749.17

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Solution

The fourth proportional to 9,728.81, 13,425 and 5,749.17 is: 7,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.81 : 13,425 = 5,749.17 : x
  2. Step 2: Convert to fraction form
    9,728.81/13,425 = 5,749.17/x
  3. Step 3: Cross multiply
    9,728.81x = 13,425 × 5,749.17
  4. Step 4: Simplify right side
    9,728.81x = 77,182,607.25
  5. Step 5: Solve for x
    x = 77,182,607.25/9,728.81
  6. Step 6: Final answer
    x = 7,933.41

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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.