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Finding the Fourth Proportional to 8,026.98, 12,027.51 and 4,942.50

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Solution

The fourth proportional to 8,026.98, 12,027.51 and 4,942.50 is: 7,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.98 : 12,027.51 = 4,942.50 : x
  2. Step 2: Convert to fraction form
    8,026.98/12,027.51 = 4,942.50/x
  3. Step 3: Cross multiply
    8,026.98x = 12,027.51 × 4,942.50
  4. Step 4: Simplify right side
    8,026.98x = 59,445,968.18
  5. Step 5: Solve for x
    x = 59,445,968.18/8,026.98
  6. Step 6: Final answer
    x = 7,405.77

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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.