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Finding the Fourth Proportional to 8,402.96, 12,603.98 and 2,559.08

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Solution

The fourth proportional to 8,402.96, 12,603.98 and 2,559.08 is: 3,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.96 : 12,603.98 = 2,559.08 : x
  2. Step 2: Convert to fraction form
    8,402.96/12,603.98 = 2,559.08/x
  3. Step 3: Cross multiply
    8,402.96x = 12,603.98 × 2,559.08
  4. Step 4: Simplify right side
    8,402.96x = 32,254,593.14
  5. Step 5: Solve for x
    x = 32,254,593.14/8,402.96
  6. Step 6: Final answer
    x = 3,838.48

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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.