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Finding the Fourth Proportional to 6,851.88, 10,277.88 and 1,657.76

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Solution

The fourth proportional to 6,851.88, 10,277.88 and 1,657.76 is: 2,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.88 : 10,277.88 = 1,657.76 : x
  2. Step 2: Convert to fraction form
    6,851.88/10,277.88 = 1,657.76/x
  3. Step 3: Cross multiply
    6,851.88x = 10,277.88 × 1,657.76
  4. Step 4: Simplify right side
    6,851.88x = 17,038,258.35
  5. Step 5: Solve for x
    x = 17,038,258.35/6,851.88
  6. Step 6: Final answer
    x = 2,486.65

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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.