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Finding the Fourth Proportional to 7,810.16, 11,719.86 and 2,883.26

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Solution

The fourth proportional to 7,810.16, 11,719.86 and 2,883.26 is: 4,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.16 : 11,719.86 = 2,883.26 : x
  2. Step 2: Convert to fraction form
    7,810.16/11,719.86 = 2,883.26/x
  3. Step 3: Cross multiply
    7,810.16x = 11,719.86 × 2,883.26
  4. Step 4: Simplify right side
    7,810.16x = 33,791,403.54
  5. Step 5: Solve for x
    x = 33,791,403.54/7,810.16
  6. Step 6: Final answer
    x = 4,326.60

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Why These Related Problems?

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