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Finding the Fourth Proportional to 1,325.37, 1,827.36 and 882.30

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Solution

The fourth proportional to 1,325.37, 1,827.36 and 882.30 is: 1,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.37 : 1,827.36 = 882.30 : x
  2. Step 2: Convert to fraction form
    1,325.37/1,827.36 = 882.30/x
  3. Step 3: Cross multiply
    1,325.37x = 1,827.36 × 882.30
  4. Step 4: Simplify right side
    1,325.37x = 1,612,279.73
  5. Step 5: Solve for x
    x = 1,612,279.73/1,325.37
  6. Step 6: Final answer
    x = 1,216.48

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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.