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Finding the Fourth Proportional to 3,465.64, 4,782.57 and 1,893.74

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Solution

The fourth proportional to 3,465.64, 4,782.57 and 1,893.74 is: 2,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.64 : 4,782.57 = 1,893.74 : x
  2. Step 2: Convert to fraction form
    3,465.64/4,782.57 = 1,893.74/x
  3. Step 3: Cross multiply
    3,465.64x = 4,782.57 × 1,893.74
  4. Step 4: Simplify right side
    3,465.64x = 9,056,913.10
  5. Step 5: Solve for x
    x = 9,056,913.10/3,465.64
  6. Step 6: Final answer
    x = 2,613.34

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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.