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Finding the Fourth Proportional to 1,595.95, 2,202.06 and 932.50

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Solution

The fourth proportional to 1,595.95, 2,202.06 and 932.50 is: 1,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.95 : 2,202.06 = 932.50 : x
  2. Step 2: Convert to fraction form
    1,595.95/2,202.06 = 932.50/x
  3. Step 3: Cross multiply
    1,595.95x = 2,202.06 × 932.50
  4. Step 4: Simplify right side
    1,595.95x = 2,053,415.44
  5. Step 5: Solve for x
    x = 2,053,415.44/1,595.95
  6. Step 6: Final answer
    x = 1,286.64

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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.