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Finding the Fourth Proportional to 12,457.42, 17,191.17 and 6,868.42

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Solution

The fourth proportional to 12,457.42, 17,191.17 and 6,868.42 is: 9,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.42 : 17,191.17 = 6,868.42 : x
  2. Step 2: Convert to fraction form
    12,457.42/17,191.17 = 6,868.42/x
  3. Step 3: Cross multiply
    12,457.42x = 17,191.17 × 6,868.42
  4. Step 4: Simplify right side
    12,457.42x = 118,076,175.85
  5. Step 5: Solve for x
    x = 118,076,175.85/12,457.42
  6. Step 6: Final answer
    x = 9,478.38

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Double scale
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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.