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Finding the Fourth Proportional to 4,641.86, 6,961.34 and 1,521.17

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Solution

The fourth proportional to 4,641.86, 6,961.34 and 1,521.17 is: 2,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.86 : 6,961.34 = 1,521.17 : x
  2. Step 2: Convert to fraction form
    4,641.86/6,961.34 = 1,521.17/x
  3. Step 3: Cross multiply
    4,641.86x = 6,961.34 × 1,521.17
  4. Step 4: Simplify right side
    4,641.86x = 10,589,339.16
  5. Step 5: Solve for x
    x = 10,589,339.16/4,641.86
  6. Step 6: Final answer
    x = 2,281.27

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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.