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Finding the Fourth Proportional to 5,690.98, 8,533.95 and 1,992.07

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Solution

The fourth proportional to 5,690.98, 8,533.95 and 1,992.07 is: 2,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.98 : 8,533.95 = 1,992.07 : x
  2. Step 2: Convert to fraction form
    5,690.98/8,533.95 = 1,992.07/x
  3. Step 3: Cross multiply
    5,690.98x = 8,533.95 × 1,992.07
  4. Step 4: Simplify right side
    5,690.98x = 17,000,225.78
  5. Step 5: Solve for x
    x = 17,000,225.78/5,690.98
  6. Step 6: Final answer
    x = 2,987.22

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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.