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Finding the Fourth Proportional to 9,602.50, 14,403.75 and 2,306.50

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Solution

The fourth proportional to 9,602.50, 14,403.75 and 2,306.50 is: 3,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.50 : 14,403.75 = 2,306.50 : x
  2. Step 2: Convert to fraction form
    9,602.50/14,403.75 = 2,306.50/x
  3. Step 3: Cross multiply
    9,602.50x = 14,403.75 × 2,306.50
  4. Step 4: Simplify right side
    9,602.50x = 33,222,249.38
  5. Step 5: Solve for x
    x = 33,222,249.38/9,602.50
  6. Step 6: Final answer
    x = 3,459.75

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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.