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Finding the Fourth Proportional to 31,053.85, 46,580.23 and 7,680.29

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Solution

The fourth proportional to 31,053.85, 46,580.23 and 7,680.29 is: 11,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.85 : 46,580.23 = 7,680.29 : x
  2. Step 2: Convert to fraction form
    31,053.85/46,580.23 = 7,680.29/x
  3. Step 3: Cross multiply
    31,053.85x = 46,580.23 × 7,680.29
  4. Step 4: Simplify right side
    31,053.85x = 357,749,451.37
  5. Step 5: Solve for x
    x = 357,749,451.37/31,053.85
  6. Step 6: Final answer
    x = 11,520.29

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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.