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Finding the Fourth Proportional to 7,802.70, 10,767.81 and 4,265.99

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Solution

The fourth proportional to 7,802.70, 10,767.81 and 4,265.99 is: 5,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.70 : 10,767.81 = 4,265.99 : x
  2. Step 2: Convert to fraction form
    7,802.70/10,767.81 = 4,265.99/x
  3. Step 3: Cross multiply
    7,802.70x = 10,767.81 × 4,265.99
  4. Step 4: Simplify right side
    7,802.70x = 45,935,369.78
  5. Step 5: Solve for x
    x = 45,935,369.78/7,802.70
  6. Step 6: Final answer
    x = 5,887.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.