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Finding the Fourth Proportional to 1,519.32, 2,095.74 and 959.34

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Solution

The fourth proportional to 1,519.32, 2,095.74 and 959.34 is: 1,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.32 : 2,095.74 = 959.34 : x
  2. Step 2: Convert to fraction form
    1,519.32/2,095.74 = 959.34/x
  3. Step 3: Cross multiply
    1,519.32x = 2,095.74 × 959.34
  4. Step 4: Simplify right side
    1,519.32x = 2,010,527.21
  5. Step 5: Solve for x
    x = 2,010,527.21/1,519.32
  6. Step 6: Final answer
    x = 1,323.31

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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.