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Finding the Fourth Proportional to 4,600.05, 6,900.77 and 1,677.68

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Solution

The fourth proportional to 4,600.05, 6,900.77 and 1,677.68 is: 2,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.05 : 6,900.77 = 1,677.68 : x
  2. Step 2: Convert to fraction form
    4,600.05/6,900.77 = 1,677.68/x
  3. Step 3: Cross multiply
    4,600.05x = 6,900.77 × 1,677.68
  4. Step 4: Simplify right side
    4,600.05x = 11,577,283.81
  5. Step 5: Solve for x
    x = 11,577,283.81/4,600.05
  6. Step 6: Final answer
    x = 2,516.77

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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.