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Finding the Fourth Proportional to 2,515, 3,770.58 and 1,359.16

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Solution

The fourth proportional to 2,515, 3,770.58 and 1,359.16 is: 2,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515 : 3,770.58 = 1,359.16 : x
  2. Step 2: Convert to fraction form
    2,515/3,770.58 = 1,359.16/x
  3. Step 3: Cross multiply
    2,515x = 3,770.58 × 1,359.16
  4. Step 4: Simplify right side
    2,515x = 5,124,821.51
  5. Step 5: Solve for x
    x = 5,124,821.51/2,515
  6. Step 6: Final answer
    x = 2,037.70

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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.