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Finding the Fourth Proportional to 13,011.50, 17,955.88 and 7,706.68

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Solution

The fourth proportional to 13,011.50, 17,955.88 and 7,706.68 is: 10,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.50 : 17,955.88 = 7,706.68 : x
  2. Step 2: Convert to fraction form
    13,011.50/17,955.88 = 7,706.68/x
  3. Step 3: Cross multiply
    13,011.50x = 17,955.88 × 7,706.68
  4. Step 4: Simplify right side
    13,011.50x = 138,380,157.12
  5. Step 5: Solve for x
    x = 138,380,157.12/13,011.50
  6. Step 6: Final answer
    x = 10,635.22

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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.