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Finding the Fourth Proportional to 3,404.57, 4,698.32 and 1,913.00

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Solution

The fourth proportional to 3,404.57, 4,698.32 and 1,913.00 is: 2,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.57 : 4,698.32 = 1,913.00 : x
  2. Step 2: Convert to fraction form
    3,404.57/4,698.32 = 1,913.00/x
  3. Step 3: Cross multiply
    3,404.57x = 4,698.32 × 1,913.00
  4. Step 4: Simplify right side
    3,404.57x = 8,987,853.10
  5. Step 5: Solve for x
    x = 8,987,853.10/3,404.57
  6. Step 6: Final answer
    x = 2,639.94

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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.