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Finding the Fourth Proportional to 3,133.40, 4,700.10 and 1,821.20

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Solution

The fourth proportional to 3,133.40, 4,700.10 and 1,821.20 is: 2,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.40 : 4,700.10 = 1,821.20 : x
  2. Step 2: Convert to fraction form
    3,133.40/4,700.10 = 1,821.20/x
  3. Step 3: Cross multiply
    3,133.40x = 4,700.10 × 1,821.20
  4. Step 4: Simplify right side
    3,133.40x = 8,559,822.12
  5. Step 5: Solve for x
    x = 8,559,822.12/3,133.40
  6. Step 6: Final answer
    x = 2,731.80

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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.