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Finding the Fourth Proportional to 5,798.75, 8,698.70 and 1,638.79

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Solution

The fourth proportional to 5,798.75, 8,698.70 and 1,638.79 is: 2,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.75 : 8,698.70 = 1,638.79 : x
  2. Step 2: Convert to fraction form
    5,798.75/8,698.70 = 1,638.79/x
  3. Step 3: Cross multiply
    5,798.75x = 8,698.70 × 1,638.79
  4. Step 4: Simplify right side
    5,798.75x = 14,255,338.48
  5. Step 5: Solve for x
    x = 14,255,338.48/5,798.75
  6. Step 6: Final answer
    x = 2,458.35

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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.