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Finding the Fourth Proportional to 1,624.36, 2,241.54 and 916.27

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Solution

The fourth proportional to 1,624.36, 2,241.54 and 916.27 is: 1,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.36 : 2,241.54 = 916.27 : x
  2. Step 2: Convert to fraction form
    1,624.36/2,241.54 = 916.27/x
  3. Step 3: Cross multiply
    1,624.36x = 2,241.54 × 916.27
  4. Step 4: Simplify right side
    1,624.36x = 2,053,855.86
  5. Step 5: Solve for x
    x = 2,053,855.86/1,624.36
  6. Step 6: Final answer
    x = 1,264.41

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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.