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Finding the Fourth Proportional to 7,904.51, 11,861.51 and 3,159.82

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Solution

The fourth proportional to 7,904.51, 11,861.51 and 3,159.82 is: 4,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.51 : 11,861.51 = 3,159.82 : x
  2. Step 2: Convert to fraction form
    7,904.51/11,861.51 = 3,159.82/x
  3. Step 3: Cross multiply
    7,904.51x = 11,861.51 × 3,159.82
  4. Step 4: Simplify right side
    7,904.51x = 37,480,259.25
  5. Step 5: Solve for x
    x = 37,480,259.25/7,904.51
  6. Step 6: Final answer
    x = 4,741.63

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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.