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Finding the Fourth Proportional to 12,405.16, 18,596.80 and 4,608.50

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Solution

The fourth proportional to 12,405.16, 18,596.80 and 4,608.50 is: 6,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.16 : 18,596.80 = 4,608.50 : x
  2. Step 2: Convert to fraction form
    12,405.16/18,596.80 = 4,608.50/x
  3. Step 3: Cross multiply
    12,405.16x = 18,596.80 × 4,608.50
  4. Step 4: Simplify right side
    12,405.16x = 85,703,329.76
  5. Step 5: Solve for x
    x = 85,703,329.76/12,405.16
  6. Step 6: Final answer
    x = 6,908.69

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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.