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Finding the Fourth Proportional to 1,899, 2,620.80 and 1,501.20

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Solution

The fourth proportional to 1,899, 2,620.80 and 1,501.20 is: 2,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899 : 2,620.80 = 1,501.20 : x
  2. Step 2: Convert to fraction form
    1,899/2,620.80 = 1,501.20/x
  3. Step 3: Cross multiply
    1,899x = 2,620.80 × 1,501.20
  4. Step 4: Simplify right side
    1,899x = 3,934,344.96
  5. Step 5: Solve for x
    x = 3,934,344.96/1,899
  6. Step 6: Final answer
    x = 2,071.80

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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.