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Finding the Fourth Proportional to 2,970, 4,101.84 and 2,041.20

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Solution

The fourth proportional to 2,970, 4,101.84 and 2,041.20 is: 2,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970 : 4,101.84 = 2,041.20 : x
  2. Step 2: Convert to fraction form
    2,970/4,101.84 = 2,041.20/x
  3. Step 3: Cross multiply
    2,970x = 4,101.84 × 2,041.20
  4. Step 4: Simplify right side
    2,970x = 8,372,675.81
  5. Step 5: Solve for x
    x = 8,372,675.81/2,970
  6. Step 6: Final answer
    x = 2,819.08

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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.