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Finding the Fourth Proportional to 5,687.90, 8,533.06 and 1,990.25

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Solution

The fourth proportional to 5,687.90, 8,533.06 and 1,990.25 is: 2,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.90 : 8,533.06 = 1,990.25 : x
  2. Step 2: Convert to fraction form
    5,687.90/8,533.06 = 1,990.25/x
  3. Step 3: Cross multiply
    5,687.90x = 8,533.06 × 1,990.25
  4. Step 4: Simplify right side
    5,687.90x = 16,982,875.02
  5. Step 5: Solve for x
    x = 16,982,875.02/5,687.90
  6. Step 6: Final answer
    x = 2,985.79

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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.