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Finding the Fourth Proportional to 8,605, 12,911.82 and 3,989.32

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Solution

The fourth proportional to 8,605, 12,911.82 and 3,989.32 is: 5,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605 : 12,911.82 = 3,989.32 : x
  2. Step 2: Convert to fraction form
    8,605/12,911.82 = 3,989.32/x
  3. Step 3: Cross multiply
    8,605x = 12,911.82 × 3,989.32
  4. Step 4: Simplify right side
    8,605x = 51,509,381.76
  5. Step 5: Solve for x
    x = 51,509,381.76/8,605
  6. Step 6: Final answer
    x = 5,985.98

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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.