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Finding the Fourth Proportional to 7,106.88, 10,661.76 and 2,490.24

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Solution

The fourth proportional to 7,106.88, 10,661.76 and 2,490.24 is: 3,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.88 : 10,661.76 = 2,490.24 : x
  2. Step 2: Convert to fraction form
    7,106.88/10,661.76 = 2,490.24/x
  3. Step 3: Cross multiply
    7,106.88x = 10,661.76 × 2,490.24
  4. Step 4: Simplify right side
    7,106.88x = 26,550,341.22
  5. Step 5: Solve for x
    x = 26,550,341.22/7,106.88
  6. Step 6: Final answer
    x = 3,735.86

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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.