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Finding the Fourth Proportional to 1,438.10, 1,983.09 and 1,066.10

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Solution

The fourth proportional to 1,438.10, 1,983.09 and 1,066.10 is: 1,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.10 : 1,983.09 = 1,066.10 : x
  2. Step 2: Convert to fraction form
    1,438.10/1,983.09 = 1,066.10/x
  3. Step 3: Cross multiply
    1,438.10x = 1,983.09 × 1,066.10
  4. Step 4: Simplify right side
    1,438.10x = 2,114,172.25
  5. Step 5: Solve for x
    x = 2,114,172.25/1,438.10
  6. Step 6: Final answer
    x = 1,470.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.