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Finding the Fourth Proportional to 2,006.51, 3,009.29 and 619.07

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Solution

The fourth proportional to 2,006.51, 3,009.29 and 619.07 is: 928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.51 : 3,009.29 = 619.07 : x
  2. Step 2: Convert to fraction form
    2,006.51/3,009.29 = 619.07/x
  3. Step 3: Cross multiply
    2,006.51x = 3,009.29 × 619.07
  4. Step 4: Simplify right side
    2,006.51x = 1,862,965.59
  5. Step 5: Solve for x
    x = 1,862,965.59/2,006.51
  6. Step 6: Final answer
    x = 928.46

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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.