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Finding the Fourth Proportional to 5,582.31, 8,373.51 and 1,422.32

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Solution

The fourth proportional to 5,582.31, 8,373.51 and 1,422.32 is: 2,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.31 : 8,373.51 = 1,422.32 : x
  2. Step 2: Convert to fraction form
    5,582.31/8,373.51 = 1,422.32/x
  3. Step 3: Cross multiply
    5,582.31x = 8,373.51 × 1,422.32
  4. Step 4: Simplify right side
    5,582.31x = 11,909,768.88
  5. Step 5: Solve for x
    x = 11,909,768.88/5,582.31
  6. Step 6: Final answer
    x = 2,133.48

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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.