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Finding the Fourth Proportional to 12,636.84, 17,444.10 and 9,005.16

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Solution

The fourth proportional to 12,636.84, 17,444.10 and 9,005.16 is: 12,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.84 : 17,444.10 = 9,005.16 : x
  2. Step 2: Convert to fraction form
    12,636.84/17,444.10 = 9,005.16/x
  3. Step 3: Cross multiply
    12,636.84x = 17,444.10 × 9,005.16
  4. Step 4: Simplify right side
    12,636.84x = 157,086,911.56
  5. Step 5: Solve for x
    x = 157,086,911.56/12,636.84
  6. Step 6: Final answer
    x = 12,430.87

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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.