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Finding the Fourth Proportional to 10,556.40, 14,563.92 and 6,078

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Solution

The fourth proportional to 10,556.40, 14,563.92 and 6,078 is: 8,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.40 : 14,563.92 = 6,078 : x
  2. Step 2: Convert to fraction form
    10,556.40/14,563.92 = 6,078/x
  3. Step 3: Cross multiply
    10,556.40x = 14,563.92 × 6,078
  4. Step 4: Simplify right side
    10,556.40x = 88,519,505.76
  5. Step 5: Solve for x
    x = 88,519,505.76/10,556.40
  6. Step 6: Final answer
    x = 8,385.39

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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.