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Finding the Fourth Proportional to 12,998.64, 19,500 and 5,605.20

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Solution

The fourth proportional to 12,998.64, 19,500 and 5,605.20 is: 8,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.64 : 19,500 = 5,605.20 : x
  2. Step 2: Convert to fraction form
    12,998.64/19,500 = 5,605.20/x
  3. Step 3: Cross multiply
    12,998.64x = 19,500 × 5,605.20
  4. Step 4: Simplify right side
    12,998.64x = 109,301,400
  5. Step 5: Solve for x
    x = 109,301,400/12,998.64
  6. Step 6: Final answer
    x = 8,408.68

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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.