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Finding the Fourth Proportional to 2,509.71, 3,463.43 and 1,390.67

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Solution

The fourth proportional to 2,509.71, 3,463.43 and 1,390.67 is: 1,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.71 : 3,463.43 = 1,390.67 : x
  2. Step 2: Convert to fraction form
    2,509.71/3,463.43 = 1,390.67/x
  3. Step 3: Cross multiply
    2,509.71x = 3,463.43 × 1,390.67
  4. Step 4: Simplify right side
    2,509.71x = 4,816,470.88
  5. Step 5: Solve for x
    x = 4,816,470.88/2,509.71
  6. Step 6: Final answer
    x = 1,919.13

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1.5x scale

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.