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Finding the Fourth Proportional to 6,851.75, 10,277.60 and 1,657.63

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Solution

The fourth proportional to 6,851.75, 10,277.60 and 1,657.63 is: 2,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.75 : 10,277.60 = 1,657.63 : x
  2. Step 2: Convert to fraction form
    6,851.75/10,277.60 = 1,657.63/x
  3. Step 3: Cross multiply
    6,851.75x = 10,277.60 × 1,657.63
  4. Step 4: Simplify right side
    6,851.75x = 17,036,424.11
  5. Step 5: Solve for x
    x = 17,036,424.11/6,851.75
  6. Step 6: Final answer
    x = 2,486.43

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1.5x scale

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.