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Finding the Fourth Proportional to 8,602.01, 12,894.30 and 5,828.96

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Solution

The fourth proportional to 8,602.01, 12,894.30 and 5,828.96 is: 8,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.01 : 12,894.30 = 5,828.96 : x
  2. Step 2: Convert to fraction form
    8,602.01/12,894.30 = 5,828.96/x
  3. Step 3: Cross multiply
    8,602.01x = 12,894.30 × 5,828.96
  4. Step 4: Simplify right side
    8,602.01x = 75,160,399.36
  5. Step 5: Solve for x
    x = 75,160,399.36/8,602.01
  6. Step 6: Final answer
    x = 8,737.54

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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.