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Finding the Fourth Proportional to 9,485, 13,089.30 and 5,293.28

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Solution

The fourth proportional to 9,485, 13,089.30 and 5,293.28 is: 7,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485 : 13,089.30 = 5,293.28 : x
  2. Step 2: Convert to fraction form
    9,485/13,089.30 = 5,293.28/x
  3. Step 3: Cross multiply
    9,485x = 13,089.30 × 5,293.28
  4. Step 4: Simplify right side
    9,485x = 69,285,329.90
  5. Step 5: Solve for x
    x = 69,285,329.90/9,485
  6. Step 6: Final answer
    x = 7,304.73

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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.