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Finding the Fourth Proportional to 3,210.70, 4,820.10 and 1,731.10

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Solution

The fourth proportional to 3,210.70, 4,820.10 and 1,731.10 is: 2,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.70 : 4,820.10 = 1,731.10 : x
  2. Step 2: Convert to fraction form
    3,210.70/4,820.10 = 1,731.10/x
  3. Step 3: Cross multiply
    3,210.70x = 4,820.10 × 1,731.10
  4. Step 4: Simplify right side
    3,210.70x = 8,344,075.11
  5. Step 5: Solve for x
    x = 8,344,075.11/3,210.70
  6. Step 6: Final answer
    x = 2,598.83

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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.