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Finding the Fourth Proportional to 1,392.72, 1,923.12 and 1,161.06

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Solution

The fourth proportional to 1,392.72, 1,923.12 and 1,161.06 is: 1,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.72 : 1,923.12 = 1,161.06 : x
  2. Step 2: Convert to fraction form
    1,392.72/1,923.12 = 1,161.06/x
  3. Step 3: Cross multiply
    1,392.72x = 1,923.12 × 1,161.06
  4. Step 4: Simplify right side
    1,392.72x = 2,232,857.71
  5. Step 5: Solve for x
    x = 2,232,857.71/1,392.72
  6. Step 6: Final answer
    x = 1,603.24

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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.