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Finding the Fourth Proportional to 1,575.21, 2,173.83 and 876.60

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Solution

The fourth proportional to 1,575.21, 2,173.83 and 876.60 is: 1,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.21 : 2,173.83 = 876.60 : x
  2. Step 2: Convert to fraction form
    1,575.21/2,173.83 = 876.60/x
  3. Step 3: Cross multiply
    1,575.21x = 2,173.83 × 876.60
  4. Step 4: Simplify right side
    1,575.21x = 1,905,579.38
  5. Step 5: Solve for x
    x = 1,905,579.38/1,575.21
  6. Step 6: Final answer
    x = 1,209.73

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Half scale
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Double scale
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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.