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Finding the Fourth Proportional to 1,602.42, 2,392.62 and 1,427.06

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Solution

The fourth proportional to 1,602.42, 2,392.62 and 1,427.06 is: 2,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.42 : 2,392.62 = 1,427.06 : x
  2. Step 2: Convert to fraction form
    1,602.42/2,392.62 = 1,427.06/x
  3. Step 3: Cross multiply
    1,602.42x = 2,392.62 × 1,427.06
  4. Step 4: Simplify right side
    1,602.42x = 3,414,412.30
  5. Step 5: Solve for x
    x = 3,414,412.30/1,602.42
  6. Step 6: Final answer
    x = 2,130.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.