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Finding the Fourth Proportional to 8,605.76, 12,908.16 and 2,365.65

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Solution

The fourth proportional to 8,605.76, 12,908.16 and 2,365.65 is: 3,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.76 : 12,908.16 = 2,365.65 : x
  2. Step 2: Convert to fraction form
    8,605.76/12,908.16 = 2,365.65/x
  3. Step 3: Cross multiply
    8,605.76x = 12,908.16 × 2,365.65
  4. Step 4: Simplify right side
    8,605.76x = 30,536,188.70
  5. Step 5: Solve for x
    x = 30,536,188.70/8,605.76
  6. Step 6: Final answer
    x = 3,548.35

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1.5x scale

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.