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Finding the Fourth Proportional to 2,509.65, 3,762.05 and 1,276.83

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Solution

The fourth proportional to 2,509.65, 3,762.05 and 1,276.83 is: 1,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.65 : 3,762.05 = 1,276.83 : x
  2. Step 2: Convert to fraction form
    2,509.65/3,762.05 = 1,276.83/x
  3. Step 3: Cross multiply
    2,509.65x = 3,762.05 × 1,276.83
  4. Step 4: Simplify right side
    2,509.65x = 4,803,491.92
  5. Step 5: Solve for x
    x = 4,803,491.92/2,509.65
  6. Step 6: Final answer
    x = 1,914.01

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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.