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Finding the Fourth Proportional to 2,422.47, 3,632.34 and 840.45

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Solution

The fourth proportional to 2,422.47, 3,632.34 and 840.45 is: 1,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.47 : 3,632.34 = 840.45 : x
  2. Step 2: Convert to fraction form
    2,422.47/3,632.34 = 840.45/x
  3. Step 3: Cross multiply
    2,422.47x = 3,632.34 × 840.45
  4. Step 4: Simplify right side
    2,422.47x = 3,052,783.38
  5. Step 5: Solve for x
    x = 3,052,783.38/2,422.47
  6. Step 6: Final answer
    x = 1,260.20

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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.