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Finding the Fourth Proportional to 12,708.46, 17,531.76 and 7,400.08

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Solution

The fourth proportional to 12,708.46, 17,531.76 and 7,400.08 is: 10,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.46 : 17,531.76 = 7,400.08 : x
  2. Step 2: Convert to fraction form
    12,708.46/17,531.76 = 7,400.08/x
  3. Step 3: Cross multiply
    12,708.46x = 17,531.76 × 7,400.08
  4. Step 4: Simplify right side
    12,708.46x = 129,736,426.54
  5. Step 5: Solve for x
    x = 129,736,426.54/12,708.46
  6. Step 6: Final answer
    x = 10,208.67

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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.