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Finding the Fourth Proportional to 29,582.84, 40,813.86 and 18,978.20

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Solution

The fourth proportional to 29,582.84, 40,813.86 and 18,978.20 is: 26,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582.84 : 40,813.86 = 18,978.20 : x
  2. Step 2: Convert to fraction form
    29,582.84/40,813.86 = 18,978.20/x
  3. Step 3: Cross multiply
    29,582.84x = 40,813.86 × 18,978.20
  4. Step 4: Simplify right side
    29,582.84x = 774,573,597.85
  5. Step 5: Solve for x
    x = 774,573,597.85/29,582.84
  6. Step 6: Final answer
    x = 26,183.21

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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.