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Finding the Fourth Proportional to 9,815.80, 14,712.74 and 4,273.80

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Solution

The fourth proportional to 9,815.80, 14,712.74 and 4,273.80 is: 6,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.80 : 14,712.74 = 4,273.80 : x
  2. Step 2: Convert to fraction form
    9,815.80/14,712.74 = 4,273.80/x
  3. Step 3: Cross multiply
    9,815.80x = 14,712.74 × 4,273.80
  4. Step 4: Simplify right side
    9,815.80x = 62,879,308.21
  5. Step 5: Solve for x
    x = 62,879,308.21/9,815.80
  6. Step 6: Final answer
    x = 6,405.93

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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.