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Finding the Fourth Proportional to 5,798.55, 8,698.11 and 1,638.86

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Solution

The fourth proportional to 5,798.55, 8,698.11 and 1,638.86 is: 2,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.55 : 8,698.11 = 1,638.86 : x
  2. Step 2: Convert to fraction form
    5,798.55/8,698.11 = 1,638.86/x
  3. Step 3: Cross multiply
    5,798.55x = 8,698.11 × 1,638.86
  4. Step 4: Simplify right side
    5,798.55x = 14,254,947.21
  5. Step 5: Solve for x
    x = 14,254,947.21/5,798.55
  6. Step 6: Final answer
    x = 2,458.37

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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.