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Finding the Fourth Proportional to 4,199, 6,298.76 and 1,277.52

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Solution

The fourth proportional to 4,199, 6,298.76 and 1,277.52 is: 1,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199 : 6,298.76 = 1,277.52 : x
  2. Step 2: Convert to fraction form
    4,199/6,298.76 = 1,277.52/x
  3. Step 3: Cross multiply
    4,199x = 6,298.76 × 1,277.52
  4. Step 4: Simplify right side
    4,199x = 8,046,791.88
  5. Step 5: Solve for x
    x = 8,046,791.88/4,199
  6. Step 6: Final answer
    x = 1,916.36

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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.