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Finding the Fourth Proportional to 9,965.94, 14,951.43 and 3,040.50

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Solution

The fourth proportional to 9,965.94, 14,951.43 and 3,040.50 is: 4,561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.94 : 14,951.43 = 3,040.50 : x
  2. Step 2: Convert to fraction form
    9,965.94/14,951.43 = 3,040.50/x
  3. Step 3: Cross multiply
    9,965.94x = 14,951.43 × 3,040.50
  4. Step 4: Simplify right side
    9,965.94x = 45,459,822.92
  5. Step 5: Solve for x
    x = 45,459,822.92/9,965.94
  6. Step 6: Final answer
    x = 4,561.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.