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Finding the Fourth Proportional to 1,692.48, 2,330.40 and 1,294.48

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Solution

The fourth proportional to 1,692.48, 2,330.40 and 1,294.48 is: 1,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.48 : 2,330.40 = 1,294.48 : x
  2. Step 2: Convert to fraction form
    1,692.48/2,330.40 = 1,294.48/x
  3. Step 3: Cross multiply
    1,692.48x = 2,330.40 × 1,294.48
  4. Step 4: Simplify right side
    1,692.48x = 3,016,656.19
  5. Step 5: Solve for x
    x = 3,016,656.19/1,692.48
  6. Step 6: Final answer
    x = 1,782.39

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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.