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Finding the Fourth Proportional to 31,080.32, 46,620.44 and 7,706.76

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Solution

The fourth proportional to 31,080.32, 46,620.44 and 7,706.76 is: 11,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,080.32 : 46,620.44 = 7,706.76 : x
  2. Step 2: Convert to fraction form
    31,080.32/46,620.44 = 7,706.76/x
  3. Step 3: Cross multiply
    31,080.32x = 46,620.44 × 7,706.76
  4. Step 4: Simplify right side
    31,080.32x = 359,292,542.17
  5. Step 5: Solve for x
    x = 359,292,542.17/31,080.32
  6. Step 6: Final answer
    x = 11,560.13

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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.