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Finding the Fourth Proportional to 9,605, 14,409.93 and 2,679.50

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Solution

The fourth proportional to 9,605, 14,409.93 and 2,679.50 is: 4,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605 : 14,409.93 = 2,679.50 : x
  2. Step 2: Convert to fraction form
    9,605/14,409.93 = 2,679.50/x
  3. Step 3: Cross multiply
    9,605x = 14,409.93 × 2,679.50
  4. Step 4: Simplify right side
    9,605x = 38,611,407.44
  5. Step 5: Solve for x
    x = 38,611,407.44/9,605
  6. Step 6: Final answer
    x = 4,019.93

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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.