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Finding the Fourth Proportional to 1,353.45, 1,892.40 and 1,353.45

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Solution

The fourth proportional to 1,353.45, 1,892.40 and 1,353.45 is: 1,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.45 : 1,892.40 = 1,353.45 : x
  2. Step 2: Convert to fraction form
    1,353.45/1,892.40 = 1,353.45/x
  3. Step 3: Cross multiply
    1,353.45x = 1,892.40 × 1,353.45
  4. Step 4: Simplify right side
    1,353.45x = 2,561,268.78
  5. Step 5: Solve for x
    x = 2,561,268.78/1,353.45
  6. Step 6: Final answer
    x = 1,892.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.