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Finding the Fourth Proportional to 9,509, 14,258.28 and 3,265.52

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Solution

The fourth proportional to 9,509, 14,258.28 and 3,265.52 is: 4,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509 : 14,258.28 = 3,265.52 : x
  2. Step 2: Convert to fraction form
    9,509/14,258.28 = 3,265.52/x
  3. Step 3: Cross multiply
    9,509x = 14,258.28 × 3,265.52
  4. Step 4: Simplify right side
    9,509x = 46,560,698.51
  5. Step 5: Solve for x
    x = 46,560,698.51/9,509
  6. Step 6: Final answer
    x = 4,896.49

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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.