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Finding the Fourth Proportional to 13,011.40, 17,954.54 and 7,344.64

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Solution

The fourth proportional to 13,011.40, 17,954.54 and 7,344.64 is: 10,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.40 : 17,954.54 = 7,344.64 : x
  2. Step 2: Convert to fraction form
    13,011.40/17,954.54 = 7,344.64/x
  3. Step 3: Cross multiply
    13,011.40x = 17,954.54 × 7,344.64
  4. Step 4: Simplify right side
    13,011.40x = 131,869,632.67
  5. Step 5: Solve for x
    x = 131,869,632.67/13,011.40
  6. Step 6: Final answer
    x = 10,134.93

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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.