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Finding the Fourth Proportional to 5,205.06, 7,808.01 and 1,695.00

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Solution

The fourth proportional to 5,205.06, 7,808.01 and 1,695.00 is: 2,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.06 : 7,808.01 = 1,695.00 : x
  2. Step 2: Convert to fraction form
    5,205.06/7,808.01 = 1,695.00/x
  3. Step 3: Cross multiply
    5,205.06x = 7,808.01 × 1,695.00
  4. Step 4: Simplify right side
    5,205.06x = 13,234,580.30
  5. Step 5: Solve for x
    x = 13,234,580.30/5,205.06
  6. Step 6: Final answer
    x = 2,542.64

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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.