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Finding the Fourth Proportional to 2,090.84, 2,848.50 and 2,048.15

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Solution

The fourth proportional to 2,090.84, 2,848.50 and 2,048.15 is: 2,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.84 : 2,848.50 = 2,048.15 : x
  2. Step 2: Convert to fraction form
    2,090.84/2,848.50 = 2,048.15/x
  3. Step 3: Cross multiply
    2,090.84x = 2,848.50 × 2,048.15
  4. Step 4: Simplify right side
    2,090.84x = 5,834,162.40
  5. Step 5: Solve for x
    x = 5,834,162.40/2,090.84
  6. Step 6: Final answer
    x = 2,790.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.