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Finding the Fourth Proportional to 2,509.99, 3,463.79 and 1,390.94

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Solution

The fourth proportional to 2,509.99, 3,463.79 and 1,390.94 is: 1,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.99 : 3,463.79 = 1,390.94 : x
  2. Step 2: Convert to fraction form
    2,509.99/3,463.79 = 1,390.94/x
  3. Step 3: Cross multiply
    2,509.99x = 3,463.79 × 1,390.94
  4. Step 4: Simplify right side
    2,509.99x = 4,817,934.89
  5. Step 5: Solve for x
    x = 4,817,934.89/2,509.99
  6. Step 6: Final answer
    x = 1,919.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.