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Finding the Fourth Proportional to 4,642.57, 6,958.97 and 1,521.77

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Solution

The fourth proportional to 4,642.57, 6,958.97 and 1,521.77 is: 2,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.57 : 6,958.97 = 1,521.77 : x
  2. Step 2: Convert to fraction form
    4,642.57/6,958.97 = 1,521.77/x
  3. Step 3: Cross multiply
    4,642.57x = 6,958.97 × 1,521.77
  4. Step 4: Simplify right side
    4,642.57x = 10,589,915.08
  5. Step 5: Solve for x
    x = 10,589,915.08/4,642.57
  6. Step 6: Final answer
    x = 2,281.05

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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.