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Finding the Fourth Proportional to 31,030.50, 46,546.70 and 7,656.94

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Solution

The fourth proportional to 31,030.50, 46,546.70 and 7,656.94 is: 11,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,030.50 : 46,546.70 = 7,656.94 : x
  2. Step 2: Convert to fraction form
    31,030.50/46,546.70 = 7,656.94/x
  3. Step 3: Cross multiply
    31,030.50x = 46,546.70 × 7,656.94
  4. Step 4: Simplify right side
    31,030.50x = 356,405,134.45
  5. Step 5: Solve for x
    x = 356,405,134.45/31,030.50
  6. Step 6: Final answer
    x = 11,485.64

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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.