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Finding the Fourth Proportional to 2,970, 4,449.08 and 1,800.40

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Solution

The fourth proportional to 2,970, 4,449.08 and 1,800.40 is: 2,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970 : 4,449.08 = 1,800.40 : x
  2. Step 2: Convert to fraction form
    2,970/4,449.08 = 1,800.40/x
  3. Step 3: Cross multiply
    2,970x = 4,449.08 × 1,800.40
  4. Step 4: Simplify right side
    2,970x = 8,010,123.63
  5. Step 5: Solve for x
    x = 8,010,123.63/2,970
  6. Step 6: Final answer
    x = 2,697.01

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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.