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Finding the Fourth Proportional to 1,477.08, 2,037.72 and 887.64

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Solution

The fourth proportional to 1,477.08, 2,037.72 and 887.64 is: 1,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.08 : 2,037.72 = 887.64 : x
  2. Step 2: Convert to fraction form
    1,477.08/2,037.72 = 887.64/x
  3. Step 3: Cross multiply
    1,477.08x = 2,037.72 × 887.64
  4. Step 4: Simplify right side
    1,477.08x = 1,808,761.78
  5. Step 5: Solve for x
    x = 1,808,761.78/1,477.08
  6. Step 6: Final answer
    x = 1,224.55

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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.