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Finding the Fourth Proportional to 1,532.21, 2,114.43 and 833.57

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Solution

The fourth proportional to 1,532.21, 2,114.43 and 833.57 is: 1,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.21 : 2,114.43 = 833.57 : x
  2. Step 2: Convert to fraction form
    1,532.21/2,114.43 = 833.57/x
  3. Step 3: Cross multiply
    1,532.21x = 2,114.43 × 833.57
  4. Step 4: Simplify right side
    1,532.21x = 1,762,525.42
  5. Step 5: Solve for x
    x = 1,762,525.42/1,532.21
  6. Step 6: Final answer
    x = 1,150.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.