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Finding the Fourth Proportional to 1,476.72, 2,037.88 and 887.26

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Solution

The fourth proportional to 1,476.72, 2,037.88 and 887.26 is: 1,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.72 : 2,037.88 = 887.26 : x
  2. Step 2: Convert to fraction form
    1,476.72/2,037.88 = 887.26/x
  3. Step 3: Cross multiply
    1,476.72x = 2,037.88 × 887.26
  4. Step 4: Simplify right side
    1,476.72x = 1,808,122.10
  5. Step 5: Solve for x
    x = 1,808,122.10/1,476.72
  6. Step 6: Final answer
    x = 1,224.42

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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.