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Finding the Fourth Proportional to 30,442.40, 45,662.96 and 14,026.40

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Solution

The fourth proportional to 30,442.40, 45,662.96 and 14,026.40 is: 21,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.40 : 45,662.96 = 14,026.40 : x
  2. Step 2: Convert to fraction form
    30,442.40/45,662.96 = 14,026.40/x
  3. Step 3: Cross multiply
    30,442.40x = 45,662.96 × 14,026.40
  4. Step 4: Simplify right side
    30,442.40x = 640,486,942.14
  5. Step 5: Solve for x
    x = 640,486,942.14/30,442.40
  6. Step 6: Final answer
    x = 21,039.31

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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.