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Finding the Fourth Proportional to 2,129.00, 3,189.98 and 2,048.00

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Solution

The fourth proportional to 2,129.00, 3,189.98 and 2,048.00 is: 3,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.00 : 3,189.98 = 2,048.00 : x
  2. Step 2: Convert to fraction form
    2,129.00/3,189.98 = 2,048.00/x
  3. Step 3: Cross multiply
    2,129.00x = 3,189.98 × 2,048.00
  4. Step 4: Simplify right side
    2,129.00x = 6,533,068.21
  5. Step 5: Solve for x
    x = 6,533,068.21/2,129.00
  6. Step 6: Final answer
    x = 3,068.62

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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.