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Finding the Fourth Proportional to 9,402.98, 14,104.50 and 2,383

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Solution

The fourth proportional to 9,402.98, 14,104.50 and 2,383 is: 3,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.98 : 14,104.50 = 2,383 : x
  2. Step 2: Convert to fraction form
    9,402.98/14,104.50 = 2,383/x
  3. Step 3: Cross multiply
    9,402.98x = 14,104.50 × 2,383
  4. Step 4: Simplify right side
    9,402.98x = 33,611,023.50
  5. Step 5: Solve for x
    x = 33,611,023.50/9,402.98
  6. Step 6: Final answer
    x = 3,574.51

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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.