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Finding the Fourth Proportional to 1,369.60, 1,899.76 and 1,322.98

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Solution

The fourth proportional to 1,369.60, 1,899.76 and 1,322.98 is: 1,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.60 : 1,899.76 = 1,322.98 : x
  2. Step 2: Convert to fraction form
    1,369.60/1,899.76 = 1,322.98/x
  3. Step 3: Cross multiply
    1,369.60x = 1,899.76 × 1,322.98
  4. Step 4: Simplify right side
    1,369.60x = 2,513,344.48
  5. Step 5: Solve for x
    x = 2,513,344.48/1,369.60
  6. Step 6: Final answer
    x = 1,835.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.