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Finding the Fourth Proportional to 8,697.76, 13,021.80 and 8,146.02

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Solution

The fourth proportional to 8,697.76, 13,021.80 and 8,146.02 is: 12,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.76 : 13,021.80 = 8,146.02 : x
  2. Step 2: Convert to fraction form
    8,697.76/13,021.80 = 8,146.02/x
  3. Step 3: Cross multiply
    8,697.76x = 13,021.80 × 8,146.02
  4. Step 4: Simplify right side
    8,697.76x = 106,075,843.24
  5. Step 5: Solve for x
    x = 106,075,843.24/8,697.76
  6. Step 6: Final answer
    x = 12,195.77

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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.