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Finding the Fourth Proportional to 1,692.51, 2,334.06 and 1,102.83

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Solution

The fourth proportional to 1,692.51, 2,334.06 and 1,102.83 is: 1,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.51 : 2,334.06 = 1,102.83 : x
  2. Step 2: Convert to fraction form
    1,692.51/2,334.06 = 1,102.83/x
  3. Step 3: Cross multiply
    1,692.51x = 2,334.06 × 1,102.83
  4. Step 4: Simplify right side
    1,692.51x = 2,574,071.39
  5. Step 5: Solve for x
    x = 2,574,071.39/1,692.51
  6. Step 6: Final answer
    x = 1,520.86

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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.