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Finding the Fourth Proportional to 8,558.50, 12,838.48 and 2,402.50

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Solution

The fourth proportional to 8,558.50, 12,838.48 and 2,402.50 is: 3,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,558.50 : 12,838.48 = 2,402.50 : x
  2. Step 2: Convert to fraction form
    8,558.50/12,838.48 = 2,402.50/x
  3. Step 3: Cross multiply
    8,558.50x = 12,838.48 × 2,402.50
  4. Step 4: Simplify right side
    8,558.50x = 30,844,448.20
  5. Step 5: Solve for x
    x = 30,844,448.20/8,558.50
  6. Step 6: Final answer
    x = 3,603.95

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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.