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Finding the Fourth Proportional to 1,703.94, 2,536.21 and 1,665.66

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Solution

The fourth proportional to 1,703.94, 2,536.21 and 1,665.66 is: 2,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.94 : 2,536.21 = 1,665.66 : x
  2. Step 2: Convert to fraction form
    1,703.94/2,536.21 = 1,665.66/x
  3. Step 3: Cross multiply
    1,703.94x = 2,536.21 × 1,665.66
  4. Step 4: Simplify right side
    1,703.94x = 4,224,475.14
  5. Step 5: Solve for x
    x = 4,224,475.14/1,703.94
  6. Step 6: Final answer
    x = 2,479.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.