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Finding the Fourth Proportional to 14,431.50, 19,915.08 and 8,143.38

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Solution

The fourth proportional to 14,431.50, 19,915.08 and 8,143.38 is: 11,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.50 : 19,915.08 = 8,143.38 : x
  2. Step 2: Convert to fraction form
    14,431.50/19,915.08 = 8,143.38/x
  3. Step 3: Cross multiply
    14,431.50x = 19,915.08 × 8,143.38
  4. Step 4: Simplify right side
    14,431.50x = 162,176,064.17
  5. Step 5: Solve for x
    x = 162,176,064.17/14,431.50
  6. Step 6: Final answer
    x = 11,237.64

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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.