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Finding the Fourth Proportional to 7,887.36, 10,930.56 and 7,776

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Solution

The fourth proportional to 7,887.36, 10,930.56 and 7,776 is: 10,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.36 : 10,930.56 = 7,776 : x
  2. Step 2: Convert to fraction form
    7,887.36/10,930.56 = 7,776/x
  3. Step 3: Cross multiply
    7,887.36x = 10,930.56 × 7,776
  4. Step 4: Simplify right side
    7,887.36x = 84,996,034.56
  5. Step 5: Solve for x
    x = 84,996,034.56/7,887.36
  6. Step 6: Final answer
    x = 10,776.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.