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Finding the Fourth Proportional to 6,455.54, 9,684.91 and 1,838.50

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Solution

The fourth proportional to 6,455.54, 9,684.91 and 1,838.50 is: 2,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.54 : 9,684.91 = 1,838.50 : x
  2. Step 2: Convert to fraction form
    6,455.54/9,684.91 = 1,838.50/x
  3. Step 3: Cross multiply
    6,455.54x = 9,684.91 × 1,838.50
  4. Step 4: Simplify right side
    6,455.54x = 17,805,707.04
  5. Step 5: Solve for x
    x = 17,805,707.04/6,455.54
  6. Step 6: Final answer
    x = 2,758.21

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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.