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Finding the Fourth Proportional to 7,006.74, 10,510.20 and 1,813.02

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Solution

The fourth proportional to 7,006.74, 10,510.20 and 1,813.02 is: 2,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.74 : 10,510.20 = 1,813.02 : x
  2. Step 2: Convert to fraction form
    7,006.74/10,510.20 = 1,813.02/x
  3. Step 3: Cross multiply
    7,006.74x = 10,510.20 × 1,813.02
  4. Step 4: Simplify right side
    7,006.74x = 19,055,202.80
  5. Step 5: Solve for x
    x = 19,055,202.80/7,006.74
  6. Step 6: Final answer
    x = 2,719.55

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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.