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Finding the Fourth Proportional to 8,605, 12,895.53 and 3,913.57

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Solution

The fourth proportional to 8,605, 12,895.53 and 3,913.57 is: 5,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605 : 12,895.53 = 3,913.57 : x
  2. Step 2: Convert to fraction form
    8,605/12,895.53 = 3,913.57/x
  3. Step 3: Cross multiply
    8,605x = 12,895.53 × 3,913.57
  4. Step 4: Simplify right side
    8,605x = 50,467,559.34
  5. Step 5: Solve for x
    x = 50,467,559.34/8,605
  6. Step 6: Final answer
    x = 5,864.91

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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.