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Finding the Fourth Proportional to 2,114.77, 3,171.65 and 882.20

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Solution

The fourth proportional to 2,114.77, 3,171.65 and 882.20 is: 1,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.77 : 3,171.65 = 882.20 : x
  2. Step 2: Convert to fraction form
    2,114.77/3,171.65 = 882.20/x
  3. Step 3: Cross multiply
    2,114.77x = 3,171.65 × 882.20
  4. Step 4: Simplify right side
    2,114.77x = 2,798,009.36
  5. Step 5: Solve for x
    x = 2,798,009.36/2,114.77
  6. Step 6: Final answer
    x = 1,323.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.