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Finding the Fourth Proportional to 8,802.26, 13,177.86 and 6,848.54

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Solution

The fourth proportional to 8,802.26, 13,177.86 and 6,848.54 is: 10,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.26 : 13,177.86 = 6,848.54 : x
  2. Step 2: Convert to fraction form
    8,802.26/13,177.86 = 6,848.54/x
  3. Step 3: Cross multiply
    8,802.26x = 13,177.86 × 6,848.54
  4. Step 4: Simplify right side
    8,802.26x = 90,249,101.32
  5. Step 5: Solve for x
    x = 90,249,101.32/8,802.26
  6. Step 6: Final answer
    x = 10,252.95

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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.