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Finding the Fourth Proportional to 5,393.45, 8,090.16 and 1,696.00

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Solution

The fourth proportional to 5,393.45, 8,090.16 and 1,696.00 is: 2,543.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.45 : 8,090.16 = 1,696.00 : x
  2. Step 2: Convert to fraction form
    5,393.45/8,090.16 = 1,696.00/x
  3. Step 3: Cross multiply
    5,393.45x = 8,090.16 × 1,696.00
  4. Step 4: Simplify right side
    5,393.45x = 13,720,870.91
  5. Step 5: Solve for x
    x = 13,720,870.91/5,393.45
  6. Step 6: Final answer
    x = 2,543.99

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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.