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Finding the Fourth Proportional to 9,611, 14,417.45 and 2,685.50

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Solution

The fourth proportional to 9,611, 14,417.45 and 2,685.50 is: 4,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611 : 14,417.45 = 2,685.50 : x
  2. Step 2: Convert to fraction form
    9,611/14,417.45 = 2,685.50/x
  3. Step 3: Cross multiply
    9,611x = 14,417.45 × 2,685.50
  4. Step 4: Simplify right side
    9,611x = 38,718,061.98
  5. Step 5: Solve for x
    x = 38,718,061.98/9,611
  6. Step 6: Final answer
    x = 4,028.52

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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.