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Finding the Fourth Proportional to 1,353.86, 2,029.57 and 1,124.22

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Solution

The fourth proportional to 1,353.86, 2,029.57 and 1,124.22 is: 1,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.86 : 2,029.57 = 1,124.22 : x
  2. Step 2: Convert to fraction form
    1,353.86/2,029.57 = 1,124.22/x
  3. Step 3: Cross multiply
    1,353.86x = 2,029.57 × 1,124.22
  4. Step 4: Simplify right side
    1,353.86x = 2,281,680.37
  5. Step 5: Solve for x
    x = 2,281,680.37/1,353.86
  6. Step 6: Final answer
    x = 1,685.32

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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.