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Finding the Fourth Proportional to 1,392.66, 1,921.08 and 1,145.14

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Solution

The fourth proportional to 1,392.66, 1,921.08 and 1,145.14 is: 1,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.66 : 1,921.08 = 1,145.14 : x
  2. Step 2: Convert to fraction form
    1,392.66/1,921.08 = 1,145.14/x
  3. Step 3: Cross multiply
    1,392.66x = 1,921.08 × 1,145.14
  4. Step 4: Simplify right side
    1,392.66x = 2,199,905.04
  5. Step 5: Solve for x
    x = 2,199,905.04/1,392.66
  6. Step 6: Final answer
    x = 1,579.64

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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.