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Finding the Fourth Proportional to 5,492.85, 8,239.80 and 1,985.00

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Solution

The fourth proportional to 5,492.85, 8,239.80 and 1,985.00 is: 2,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.85 : 8,239.80 = 1,985.00 : x
  2. Step 2: Convert to fraction form
    5,492.85/8,239.80 = 1,985.00/x
  3. Step 3: Cross multiply
    5,492.85x = 8,239.80 × 1,985.00
  4. Step 4: Simplify right side
    5,492.85x = 16,355,961.80
  5. Step 5: Solve for x
    x = 16,355,961.80/5,492.85
  6. Step 6: Final answer
    x = 2,977.68

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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.