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Finding the Fourth Proportional to 2,007.16, 3,009.63 and 620.11

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Solution

The fourth proportional to 2,007.16, 3,009.63 and 620.11 is: 929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.16 : 3,009.63 = 620.11 : x
  2. Step 2: Convert to fraction form
    2,007.16/3,009.63 = 620.11/x
  3. Step 3: Cross multiply
    2,007.16x = 3,009.63 × 620.11
  4. Step 4: Simplify right side
    2,007.16x = 1,866,301.66
  5. Step 5: Solve for x
    x = 1,866,301.66/2,007.16
  6. Step 6: Final answer
    x = 929.82

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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.