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Finding the Fourth Proportional to 12,504.16, 17,255.70 and 6,915.16

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Solution

The fourth proportional to 12,504.16, 17,255.70 and 6,915.16 is: 9,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.16 : 17,255.70 = 6,915.16 : x
  2. Step 2: Convert to fraction form
    12,504.16/17,255.70 = 6,915.16/x
  3. Step 3: Cross multiply
    12,504.16x = 17,255.70 × 6,915.16
  4. Step 4: Simplify right side
    12,504.16x = 119,325,926.41
  5. Step 5: Solve for x
    x = 119,325,926.41/12,504.16
  6. Step 6: Final answer
    x = 9,542.90

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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.