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Finding the Fourth Proportional to 1,614.64, 2,228.34 and 916

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Solution

The fourth proportional to 1,614.64, 2,228.34 and 916 is: 1,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.64 : 2,228.34 = 916 : x
  2. Step 2: Convert to fraction form
    1,614.64/2,228.34 = 916/x
  3. Step 3: Cross multiply
    1,614.64x = 2,228.34 × 916
  4. Step 4: Simplify right side
    1,614.64x = 2,041,159.44
  5. Step 5: Solve for x
    x = 2,041,159.44/1,614.64
  6. Step 6: Final answer
    x = 1,264.16

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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.