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Finding the Fourth Proportional to 43,570.75, 65,356.12 and 12,406

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Solution

The fourth proportional to 43,570.75, 65,356.12 and 12,406 is: 18,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,570.75 : 65,356.12 = 12,406 : x
  2. Step 2: Convert to fraction form
    43,570.75/65,356.12 = 12,406/x
  3. Step 3: Cross multiply
    43,570.75x = 65,356.12 × 12,406
  4. Step 4: Simplify right side
    43,570.75x = 810,808,024.72
  5. Step 5: Solve for x
    x = 810,808,024.72/43,570.75
  6. Step 6: Final answer
    x = 18,609.00

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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.