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Finding the Fourth Proportional to 2,030.50, 2,802.16 and 1,244.40

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Solution

The fourth proportional to 2,030.50, 2,802.16 and 1,244.40 is: 1,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.50 : 2,802.16 = 1,244.40 : x
  2. Step 2: Convert to fraction form
    2,030.50/2,802.16 = 1,244.40/x
  3. Step 3: Cross multiply
    2,030.50x = 2,802.16 × 1,244.40
  4. Step 4: Simplify right side
    2,030.50x = 3,487,007.90
  5. Step 5: Solve for x
    x = 3,487,007.90/2,030.50
  6. Step 6: Final answer
    x = 1,717.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.