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Finding the Fourth Proportional to 3,518.64, 4,855.74 and 1,946.76

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Solution

The fourth proportional to 3,518.64, 4,855.74 and 1,946.76 is: 2,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.64 : 4,855.74 = 1,946.76 : x
  2. Step 2: Convert to fraction form
    3,518.64/4,855.74 = 1,946.76/x
  3. Step 3: Cross multiply
    3,518.64x = 4,855.74 × 1,946.76
  4. Step 4: Simplify right side
    3,518.64x = 9,452,960.40
  5. Step 5: Solve for x
    x = 9,452,960.40/3,518.64
  6. Step 6: Final answer
    x = 2,686.54

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Half scale
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Double scale
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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.