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Finding the Fourth Proportional to 1,989.08, 2,984.63 and 893.22

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Solution

The fourth proportional to 1,989.08, 2,984.63 and 893.22 is: 1,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.08 : 2,984.63 = 893.22 : x
  2. Step 2: Convert to fraction form
    1,989.08/2,984.63 = 893.22/x
  3. Step 3: Cross multiply
    1,989.08x = 2,984.63 × 893.22
  4. Step 4: Simplify right side
    1,989.08x = 2,665,931.21
  5. Step 5: Solve for x
    x = 2,665,931.21/1,989.08
  6. Step 6: Final answer
    x = 1,340.28

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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.