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Finding the Fourth Proportional to 5,354.49, 8,032.49 and 1,657.05

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Solution

The fourth proportional to 5,354.49, 8,032.49 and 1,657.05 is: 2,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.49 : 8,032.49 = 1,657.05 : x
  2. Step 2: Convert to fraction form
    5,354.49/8,032.49 = 1,657.05/x
  3. Step 3: Cross multiply
    5,354.49x = 8,032.49 × 1,657.05
  4. Step 4: Simplify right side
    5,354.49x = 13,310,237.55
  5. Step 5: Solve for x
    x = 13,310,237.55/5,354.49
  6. Step 6: Final answer
    x = 2,485.81

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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.