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Finding the Fourth Proportional to 2,509.65, 3,765.95 and 1,048.69

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Solution

The fourth proportional to 2,509.65, 3,765.95 and 1,048.69 is: 1,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.65 : 3,765.95 = 1,048.69 : x
  2. Step 2: Convert to fraction form
    2,509.65/3,765.95 = 1,048.69/x
  3. Step 3: Cross multiply
    2,509.65x = 3,765.95 × 1,048.69
  4. Step 4: Simplify right side
    2,509.65x = 3,949,307.31
  5. Step 5: Solve for x
    x = 3,949,307.31/2,509.65
  6. Step 6: Final answer
    x = 1,573.65

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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.