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Finding the Fourth Proportional to 2,546.77, 3,509.78 and 1,986.35

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Solution

The fourth proportional to 2,546.77, 3,509.78 and 1,986.35 is: 2,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.77 : 3,509.78 = 1,986.35 : x
  2. Step 2: Convert to fraction form
    2,546.77/3,509.78 = 1,986.35/x
  3. Step 3: Cross multiply
    2,546.77x = 3,509.78 × 1,986.35
  4. Step 4: Simplify right side
    2,546.77x = 6,971,651.50
  5. Step 5: Solve for x
    x = 6,971,651.50/2,546.77
  6. Step 6: Final answer
    x = 2,737.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.