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Finding the Fourth Proportional to 1,356.35, 1,873.73 and 916.18

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Solution

The fourth proportional to 1,356.35, 1,873.73 and 916.18 is: 1,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.35 : 1,873.73 = 916.18 : x
  2. Step 2: Convert to fraction form
    1,356.35/1,873.73 = 916.18/x
  3. Step 3: Cross multiply
    1,356.35x = 1,873.73 × 916.18
  4. Step 4: Simplify right side
    1,356.35x = 1,716,671.56
  5. Step 5: Solve for x
    x = 1,716,671.56/1,356.35
  6. Step 6: Final answer
    x = 1,265.66

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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.