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Finding the Fourth Proportional to 5,688.64, 8,533.74 and 1,990

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Solution

The fourth proportional to 5,688.64, 8,533.74 and 1,990 is: 2,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.64 : 8,533.74 = 1,990 : x
  2. Step 2: Convert to fraction form
    5,688.64/8,533.74 = 1,990/x
  3. Step 3: Cross multiply
    5,688.64x = 8,533.74 × 1,990
  4. Step 4: Simplify right side
    5,688.64x = 16,982,142.60
  5. Step 5: Solve for x
    x = 16,982,142.60/5,688.64
  6. Step 6: Final answer
    x = 2,985.27

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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.