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Finding the Fourth Proportional to 2,030.50, 2,802.09 and 1,202.50

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Solution

The fourth proportional to 2,030.50, 2,802.09 and 1,202.50 is: 1,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.50 : 2,802.09 = 1,202.50 : x
  2. Step 2: Convert to fraction form
    2,030.50/2,802.09 = 1,202.50/x
  3. Step 3: Cross multiply
    2,030.50x = 2,802.09 × 1,202.50
  4. Step 4: Simplify right side
    2,030.50x = 3,369,513.23
  5. Step 5: Solve for x
    x = 3,369,513.23/2,030.50
  6. Step 6: Final answer
    x = 1,659.45

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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.