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Finding the Fourth Proportional to 3,362.70, 4,640 and 1,870.62

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Solution

The fourth proportional to 3,362.70, 4,640 and 1,870.62 is: 2,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.70 : 4,640 = 1,870.62 : x
  2. Step 2: Convert to fraction form
    3,362.70/4,640 = 1,870.62/x
  3. Step 3: Cross multiply
    3,362.70x = 4,640 × 1,870.62
  4. Step 4: Simplify right side
    3,362.70x = 8,679,676.80
  5. Step 5: Solve for x
    x = 8,679,676.80/3,362.70
  6. Step 6: Final answer
    x = 2,581.16

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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.