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Finding the Fourth Proportional to 1,998.40, 3,012.56 and 1,864.62

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Solution

The fourth proportional to 1,998.40, 3,012.56 and 1,864.62 is: 2,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.40 : 3,012.56 = 1,864.62 : x
  2. Step 2: Convert to fraction form
    1,998.40/3,012.56 = 1,864.62/x
  3. Step 3: Cross multiply
    1,998.40x = 3,012.56 × 1,864.62
  4. Step 4: Simplify right side
    1,998.40x = 5,617,279.63
  5. Step 5: Solve for x
    x = 5,617,279.63/1,998.40
  6. Step 6: Final answer
    x = 2,810.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.