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Finding the Fourth Proportional to 10,980.65, 16,471.70 and 4,405.98

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Solution

The fourth proportional to 10,980.65, 16,471.70 and 4,405.98 is: 6,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.65 : 16,471.70 = 4,405.98 : x
  2. Step 2: Convert to fraction form
    10,980.65/16,471.70 = 4,405.98/x
  3. Step 3: Cross multiply
    10,980.65x = 16,471.70 × 4,405.98
  4. Step 4: Simplify right side
    10,980.65x = 72,573,958.74
  5. Step 5: Solve for x
    x = 72,573,958.74/10,980.65
  6. Step 6: Final answer
    x = 6,609.26

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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.