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Finding the Fourth Proportional to 2,160.76, 3,242.09 and 1,006.51

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Solution

The fourth proportional to 2,160.76, 3,242.09 and 1,006.51 is: 1,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.76 : 3,242.09 = 1,006.51 : x
  2. Step 2: Convert to fraction form
    2,160.76/3,242.09 = 1,006.51/x
  3. Step 3: Cross multiply
    2,160.76x = 3,242.09 × 1,006.51
  4. Step 4: Simplify right side
    2,160.76x = 3,263,196.01
  5. Step 5: Solve for x
    x = 3,263,196.01/2,160.76
  6. Step 6: Final answer
    x = 1,510.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.