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Finding the Fourth Proportional to 8,478, 11,699.80 and 4,941.42

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Solution

The fourth proportional to 8,478, 11,699.80 and 4,941.42 is: 6,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478 : 11,699.80 = 4,941.42 : x
  2. Step 2: Convert to fraction form
    8,478/11,699.80 = 4,941.42/x
  3. Step 3: Cross multiply
    8,478x = 11,699.80 × 4,941.42
  4. Step 4: Simplify right side
    8,478x = 57,813,625.72
  5. Step 5: Solve for x
    x = 57,813,625.72/8,478
  6. Step 6: Final answer
    x = 6,819.25

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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.