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Finding the Fourth Proportional to 7,661.02, 10,576.23 and 5,156.29

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Solution

The fourth proportional to 7,661.02, 10,576.23 and 5,156.29 is: 7,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.02 : 10,576.23 = 5,156.29 : x
  2. Step 2: Convert to fraction form
    7,661.02/10,576.23 = 5,156.29/x
  3. Step 3: Cross multiply
    7,661.02x = 10,576.23 × 5,156.29
  4. Step 4: Simplify right side
    7,661.02x = 54,534,108.99
  5. Step 5: Solve for x
    x = 54,534,108.99/7,661.02
  6. Step 6: Final answer
    x = 7,118.39

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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.