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Finding the Fourth Proportional to 5,085, 7,628.04 and 1,798.98

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Solution

The fourth proportional to 5,085, 7,628.04 and 1,798.98 is: 2,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085 : 7,628.04 = 1,798.98 : x
  2. Step 2: Convert to fraction form
    5,085/7,628.04 = 1,798.98/x
  3. Step 3: Cross multiply
    5,085x = 7,628.04 × 1,798.98
  4. Step 4: Simplify right side
    5,085x = 13,722,691.40
  5. Step 5: Solve for x
    x = 13,722,691.40/5,085
  6. Step 6: Final answer
    x = 2,698.66

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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.