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Finding the Fourth Proportional to 4,393.88, 6,590.77 and 1,106.90

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Solution

The fourth proportional to 4,393.88, 6,590.77 and 1,106.90 is: 1,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.88 : 6,590.77 = 1,106.90 : x
  2. Step 2: Convert to fraction form
    4,393.88/6,590.77 = 1,106.90/x
  3. Step 3: Cross multiply
    4,393.88x = 6,590.77 × 1,106.90
  4. Step 4: Simplify right side
    4,393.88x = 7,295,323.31
  5. Step 5: Solve for x
    x = 7,295,323.31/4,393.88
  6. Step 6: Final answer
    x = 1,660.34

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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.