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Finding the Fourth Proportional to 12,257.34, 16,918.92 and 7,543.14

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Solution

The fourth proportional to 12,257.34, 16,918.92 and 7,543.14 is: 10,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.34 : 16,918.92 = 7,543.14 : x
  2. Step 2: Convert to fraction form
    12,257.34/16,918.92 = 7,543.14/x
  3. Step 3: Cross multiply
    12,257.34x = 16,918.92 × 7,543.14
  4. Step 4: Simplify right side
    12,257.34x = 127,621,782.21
  5. Step 5: Solve for x
    x = 127,621,782.21/12,257.34
  6. Step 6: Final answer
    x = 10,411.87

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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.