Home / 1,692.23-2,335.16-946.15

Finding the Fourth Proportional to 1,692.23, 2,335.16 and 946.15

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Solution

The fourth proportional to 1,692.23, 2,335.16 and 946.15 is: 1,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.23 : 2,335.16 = 946.15 : x
  2. Step 2: Convert to fraction form
    1,692.23/2,335.16 = 946.15/x
  3. Step 3: Cross multiply
    1,692.23x = 2,335.16 × 946.15
  4. Step 4: Simplify right side
    1,692.23x = 2,209,408.16
  5. Step 5: Solve for x
    x = 2,209,408.16/1,692.23
  6. Step 6: Final answer
    x = 1,305.62

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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.