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Finding the Fourth Proportional to 1,573.72, 2,171.32 and 910.60

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Solution

The fourth proportional to 1,573.72, 2,171.32 and 910.60 is: 1,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.72 : 2,171.32 = 910.60 : x
  2. Step 2: Convert to fraction form
    1,573.72/2,171.32 = 910.60/x
  3. Step 3: Cross multiply
    1,573.72x = 2,171.32 × 910.60
  4. Step 4: Simplify right side
    1,573.72x = 1,977,203.99
  5. Step 5: Solve for x
    x = 1,977,203.99/1,573.72
  6. Step 6: Final answer
    x = 1,256.39

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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.