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Finding the Fourth Proportional to 1,324.02, 1,978.43 and 1,009.94

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Solution

The fourth proportional to 1,324.02, 1,978.43 and 1,009.94 is: 1,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.02 : 1,978.43 = 1,009.94 : x
  2. Step 2: Convert to fraction form
    1,324.02/1,978.43 = 1,009.94/x
  3. Step 3: Cross multiply
    1,324.02x = 1,978.43 × 1,009.94
  4. Step 4: Simplify right side
    1,324.02x = 1,998,097.35
  5. Step 5: Solve for x
    x = 1,998,097.35/1,324.02
  6. Step 6: Final answer
    x = 1,509.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.