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Finding the Fourth Proportional to 14,342.60, 21,513.90 and 3,812.60

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Solution

The fourth proportional to 14,342.60, 21,513.90 and 3,812.60 is: 5,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.60 : 21,513.90 = 3,812.60 : x
  2. Step 2: Convert to fraction form
    14,342.60/21,513.90 = 3,812.60/x
  3. Step 3: Cross multiply
    14,342.60x = 21,513.90 × 3,812.60
  4. Step 4: Simplify right side
    14,342.60x = 82,023,895.14
  5. Step 5: Solve for x
    x = 82,023,895.14/14,342.60
  6. Step 6: Final answer
    x = 5,718.90

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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.