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Finding the Fourth Proportional to 9,602, 14,403 and 2,306

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Solution

The fourth proportional to 9,602, 14,403 and 2,306 is: 3,459

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602 : 14,403 = 2,306 : x
  2. Step 2: Convert to fraction form
    9,602/14,403 = 2,306/x
  3. Step 3: Cross multiply
    9,602x = 14,403 × 2,306
  4. Step 4: Simplify right side
    9,602x = 33,213,318
  5. Step 5: Solve for x
    x = 33,213,318/9,602
  6. Step 6: Final answer
    x = 3,459

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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.