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Finding the Fourth Proportional to 8,152.96, 12,231.60 and 4,994

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Solution

The fourth proportional to 8,152.96, 12,231.60 and 4,994 is: 7,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.96 : 12,231.60 = 4,994 : x
  2. Step 2: Convert to fraction form
    8,152.96/12,231.60 = 4,994/x
  3. Step 3: Cross multiply
    8,152.96x = 12,231.60 × 4,994
  4. Step 4: Simplify right side
    8,152.96x = 61,084,610.40
  5. Step 5: Solve for x
    x = 61,084,610.40/8,152.96
  6. Step 6: Final answer
    x = 7,492.32

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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.