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Finding the Fourth Proportional to 14,433.68, 19,915.76 and 8,144.88

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Solution

The fourth proportional to 14,433.68, 19,915.76 and 8,144.88 is: 11,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.68 : 19,915.76 = 8,144.88 : x
  2. Step 2: Convert to fraction form
    14,433.68/19,915.76 = 8,144.88/x
  3. Step 3: Cross multiply
    14,433.68x = 19,915.76 × 8,144.88
  4. Step 4: Simplify right side
    14,433.68x = 162,211,475.31
  5. Step 5: Solve for x
    x = 162,211,475.31/14,433.68
  6. Step 6: Final answer
    x = 11,238.40

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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.