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Finding the Fourth Proportional to 7,802.43, 11,709.12 and 4,511.00

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Solution

The fourth proportional to 7,802.43, 11,709.12 and 4,511.00 is: 6,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.43 : 11,709.12 = 4,511.00 : x
  2. Step 2: Convert to fraction form
    7,802.43/11,709.12 = 4,511.00/x
  3. Step 3: Cross multiply
    7,802.43x = 11,709.12 × 4,511.00
  4. Step 4: Simplify right side
    7,802.43x = 52,819,781.77
  5. Step 5: Solve for x
    x = 52,819,781.77/7,802.43
  6. Step 6: Final answer
    x = 6,769.66

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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.