Home / 7,851.64-11,778-2,657.56

Finding the Fourth Proportional to 7,851.64, 11,778 and 2,657.56

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Solution

The fourth proportional to 7,851.64, 11,778 and 2,657.56 is: 3,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.64 : 11,778 = 2,657.56 : x
  2. Step 2: Convert to fraction form
    7,851.64/11,778 = 2,657.56/x
  3. Step 3: Cross multiply
    7,851.64x = 11,778 × 2,657.56
  4. Step 4: Simplify right side
    7,851.64x = 31,300,741.68
  5. Step 5: Solve for x
    x = 31,300,741.68/7,851.64
  6. Step 6: Final answer
    x = 3,986.52

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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.