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Finding the Fourth Proportional to 12,651.64, 18,970.14 and 5,247.64

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Solution

The fourth proportional to 12,651.64, 18,970.14 and 5,247.64 is: 7,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.64 : 18,970.14 = 5,247.64 : x
  2. Step 2: Convert to fraction form
    12,651.64/18,970.14 = 5,247.64/x
  3. Step 3: Cross multiply
    12,651.64x = 18,970.14 × 5,247.64
  4. Step 4: Simplify right side
    12,651.64x = 99,548,465.47
  5. Step 5: Solve for x
    x = 99,548,465.47/12,651.64
  6. Step 6: Final answer
    x = 7,868.42

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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.