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Finding the Fourth Proportional to 5,683.90, 8,523.78 and 1,985.08

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Solution

The fourth proportional to 5,683.90, 8,523.78 and 1,985.08 is: 2,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.90 : 8,523.78 = 1,985.08 : x
  2. Step 2: Convert to fraction form
    5,683.90/8,523.78 = 1,985.08/x
  3. Step 3: Cross multiply
    5,683.90x = 8,523.78 × 1,985.08
  4. Step 4: Simplify right side
    5,683.90x = 16,920,385.20
  5. Step 5: Solve for x
    x = 16,920,385.20/5,683.90
  6. Step 6: Final answer
    x = 2,976.90

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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.