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Finding the Fourth Proportional to 12,402, 18,603 and 7,788.24

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Solution

The fourth proportional to 12,402, 18,603 and 7,788.24 is: 11,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402 : 18,603 = 7,788.24 : x
  2. Step 2: Convert to fraction form
    12,402/18,603 = 7,788.24/x
  3. Step 3: Cross multiply
    12,402x = 18,603 × 7,788.24
  4. Step 4: Simplify right side
    12,402x = 144,884,628.72
  5. Step 5: Solve for x
    x = 144,884,628.72/12,402
  6. Step 6: Final answer
    x = 11,682.36

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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.