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Finding the Fourth Proportional to 1,546.17, 2,133.09 and 955.68

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Solution

The fourth proportional to 1,546.17, 2,133.09 and 955.68 is: 1,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.17 : 2,133.09 = 955.68 : x
  2. Step 2: Convert to fraction form
    1,546.17/2,133.09 = 955.68/x
  3. Step 3: Cross multiply
    1,546.17x = 2,133.09 × 955.68
  4. Step 4: Simplify right side
    1,546.17x = 2,038,551.45
  5. Step 5: Solve for x
    x = 2,038,551.45/1,546.17
  6. Step 6: Final answer
    x = 1,318.45

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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.