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Finding the Fourth Proportional to 2,156, 2,975.28 and 1,224.64

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Solution

The fourth proportional to 2,156, 2,975.28 and 1,224.64 is: 1,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156 : 2,975.28 = 1,224.64 : x
  2. Step 2: Convert to fraction form
    2,156/2,975.28 = 1,224.64/x
  3. Step 3: Cross multiply
    2,156x = 2,975.28 × 1,224.64
  4. Step 4: Simplify right side
    2,156x = 3,643,646.90
  5. Step 5: Solve for x
    x = 3,643,646.90/2,156
  6. Step 6: Final answer
    x = 1,690.00

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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.