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Finding the Fourth Proportional to 30,234.76, 41,742.64 and 19,483.42

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Solution

The fourth proportional to 30,234.76, 41,742.64 and 19,483.42 is: 26,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.76 : 41,742.64 = 19,483.42 : x
  2. Step 2: Convert to fraction form
    30,234.76/41,742.64 = 19,483.42/x
  3. Step 3: Cross multiply
    30,234.76x = 41,742.64 × 19,483.42
  4. Step 4: Simplify right side
    30,234.76x = 813,289,387.03
  5. Step 5: Solve for x
    x = 813,289,387.03/30,234.76
  6. Step 6: Final answer
    x = 26,899.15

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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.