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Finding the Fourth Proportional to 1,546.53, 2,134.08 and 917.00

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Solution

The fourth proportional to 1,546.53, 2,134.08 and 917.00 is: 1,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.53 : 2,134.08 = 917.00 : x
  2. Step 2: Convert to fraction form
    1,546.53/2,134.08 = 917.00/x
  3. Step 3: Cross multiply
    1,546.53x = 2,134.08 × 917.00
  4. Step 4: Simplify right side
    1,546.53x = 1,956,948.69
  5. Step 5: Solve for x
    x = 1,956,948.69/1,546.53
  6. Step 6: Final answer
    x = 1,265.38

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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.