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Finding the Fourth Proportional to 1,612.05, 2,415.30 and 882.15

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Solution

The fourth proportional to 1,612.05, 2,415.30 and 882.15 is: 1,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.05 : 2,415.30 = 882.15 : x
  2. Step 2: Convert to fraction form
    1,612.05/2,415.30 = 882.15/x
  3. Step 3: Cross multiply
    1,612.05x = 2,415.30 × 882.15
  4. Step 4: Simplify right side
    1,612.05x = 2,130,656.90
  5. Step 5: Solve for x
    x = 2,130,656.90/1,612.05
  6. Step 6: Final answer
    x = 1,321.71

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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.