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Finding the Fourth Proportional to 2,009.81, 2,772.93 and 1,264.51

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Solution

The fourth proportional to 2,009.81, 2,772.93 and 1,264.51 is: 1,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.81 : 2,772.93 = 1,264.51 : x
  2. Step 2: Convert to fraction form
    2,009.81/2,772.93 = 1,264.51/x
  3. Step 3: Cross multiply
    2,009.81x = 2,772.93 × 1,264.51
  4. Step 4: Simplify right side
    2,009.81x = 3,506,405.92
  5. Step 5: Solve for x
    x = 3,506,405.92/2,009.81
  6. Step 6: Final answer
    x = 1,744.64

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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.