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Finding the Fourth Proportional to 1,696.32, 2,529.54 and 1,561.68

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Solution

The fourth proportional to 1,696.32, 2,529.54 and 1,561.68 is: 2,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.32 : 2,529.54 = 1,561.68 : x
  2. Step 2: Convert to fraction form
    1,696.32/2,529.54 = 1,561.68/x
  3. Step 3: Cross multiply
    1,696.32x = 2,529.54 × 1,561.68
  4. Step 4: Simplify right side
    1,696.32x = 3,950,332.03
  5. Step 5: Solve for x
    x = 3,950,332.03/1,696.32
  6. Step 6: Final answer
    x = 2,328.77

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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.