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Finding the Fourth Proportional to 1,692.47, 2,337.86 and 1,362.13

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Solution

The fourth proportional to 1,692.47, 2,337.86 and 1,362.13 is: 1,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.47 : 2,337.86 = 1,362.13 : x
  2. Step 2: Convert to fraction form
    1,692.47/2,337.86 = 1,362.13/x
  3. Step 3: Cross multiply
    1,692.47x = 2,337.86 × 1,362.13
  4. Step 4: Simplify right side
    1,692.47x = 3,184,456.59
  5. Step 5: Solve for x
    x = 3,184,456.59/1,692.47
  6. Step 6: Final answer
    x = 1,881.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.