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Finding the Fourth Proportional to 2,509.59, 3,463.31 and 1,390.63

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Solution

The fourth proportional to 2,509.59, 3,463.31 and 1,390.63 is: 1,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.59 : 3,463.31 = 1,390.63 : x
  2. Step 2: Convert to fraction form
    2,509.59/3,463.31 = 1,390.63/x
  3. Step 3: Cross multiply
    2,509.59x = 3,463.31 × 1,390.63
  4. Step 4: Simplify right side
    2,509.59x = 4,816,175.83
  5. Step 5: Solve for x
    x = 4,816,175.83/2,509.59
  6. Step 6: Final answer
    x = 1,919.11

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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.