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Finding the Fourth Proportional to 12,488.16, 18,710.64 and 8,100.48

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Solution

The fourth proportional to 12,488.16, 18,710.64 and 8,100.48 is: 12,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,488.16 : 18,710.64 = 8,100.48 : x
  2. Step 2: Convert to fraction form
    12,488.16/18,710.64 = 8,100.48/x
  3. Step 3: Cross multiply
    12,488.16x = 18,710.64 × 8,100.48
  4. Step 4: Simplify right side
    12,488.16x = 151,565,165.11
  5. Step 5: Solve for x
    x = 151,565,165.11/12,488.16
  6. Step 6: Final answer
    x = 12,136.71

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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.