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Finding the Fourth Proportional to 9,625.98, 13,284.12 and 5,434.50

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Solution

The fourth proportional to 9,625.98, 13,284.12 and 5,434.50 is: 7,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.98 : 13,284.12 = 5,434.50 : x
  2. Step 2: Convert to fraction form
    9,625.98/13,284.12 = 5,434.50/x
  3. Step 3: Cross multiply
    9,625.98x = 13,284.12 × 5,434.50
  4. Step 4: Simplify right side
    9,625.98x = 72,192,550.14
  5. Step 5: Solve for x
    x = 72,192,550.14/9,625.98
  6. Step 6: Final answer
    x = 7,499.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.