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Finding the Fourth Proportional to 1,396.56, 1,925.64 and 1,133.76

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Solution

The fourth proportional to 1,396.56, 1,925.64 and 1,133.76 is: 1,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.56 : 1,925.64 = 1,133.76 : x
  2. Step 2: Convert to fraction form
    1,396.56/1,925.64 = 1,133.76/x
  3. Step 3: Cross multiply
    1,396.56x = 1,925.64 × 1,133.76
  4. Step 4: Simplify right side
    1,396.56x = 2,183,213.61
  5. Step 5: Solve for x
    x = 2,183,213.61/1,396.56
  6. Step 6: Final answer
    x = 1,563.28

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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.