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Finding the Fourth Proportional to 8,607.76, 12,911.32 and 4,736.48

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Solution

The fourth proportional to 8,607.76, 12,911.32 and 4,736.48 is: 7,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,607.76 : 12,911.32 = 4,736.48 : x
  2. Step 2: Convert to fraction form
    8,607.76/12,911.32 = 4,736.48/x
  3. Step 3: Cross multiply
    8,607.76x = 12,911.32 × 4,736.48
  4. Step 4: Simplify right side
    8,607.76x = 61,154,208.95
  5. Step 5: Solve for x
    x = 61,154,208.95/8,607.76
  6. Step 6: Final answer
    x = 7,104.54

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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.