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Finding the Fourth Proportional to 9,783.63, 14,678.03 and 2,763.66

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Solution

The fourth proportional to 9,783.63, 14,678.03 and 2,763.66 is: 4,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.63 : 14,678.03 = 2,763.66 : x
  2. Step 2: Convert to fraction form
    9,783.63/14,678.03 = 2,763.66/x
  3. Step 3: Cross multiply
    9,783.63x = 14,678.03 × 2,763.66
  4. Step 4: Simplify right side
    9,783.63x = 40,565,070.57
  5. Step 5: Solve for x
    x = 40,565,070.57/9,783.63
  6. Step 6: Final answer
    x = 4,146.22

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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.