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Finding the Fourth Proportional to 1,369.50, 1,893.51 and 1,308.30

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Solution

The fourth proportional to 1,369.50, 1,893.51 and 1,308.30 is: 1,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.50 : 1,893.51 = 1,308.30 : x
  2. Step 2: Convert to fraction form
    1,369.50/1,893.51 = 1,308.30/x
  3. Step 3: Cross multiply
    1,369.50x = 1,893.51 × 1,308.30
  4. Step 4: Simplify right side
    1,369.50x = 2,477,279.13
  5. Step 5: Solve for x
    x = 2,477,279.13/1,369.50
  6. Step 6: Final answer
    x = 1,808.89

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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.