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Finding the Fourth Proportional to 12,856.24, 17,744.64 and 8,372.24

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Solution

The fourth proportional to 12,856.24, 17,744.64 and 8,372.24 is: 11,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.24 : 17,744.64 = 8,372.24 : x
  2. Step 2: Convert to fraction form
    12,856.24/17,744.64 = 8,372.24/x
  3. Step 3: Cross multiply
    12,856.24x = 17,744.64 × 8,372.24
  4. Step 4: Simplify right side
    12,856.24x = 148,562,384.79
  5. Step 5: Solve for x
    x = 148,562,384.79/12,856.24
  6. Step 6: Final answer
    x = 11,555.66

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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.