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Finding the Fourth Proportional to 12,629.71, 17,430.18 and 7,252.90

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Solution

The fourth proportional to 12,629.71, 17,430.18 and 7,252.90 is: 10,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.71 : 17,430.18 = 7,252.90 : x
  2. Step 2: Convert to fraction form
    12,629.71/17,430.18 = 7,252.90/x
  3. Step 3: Cross multiply
    12,629.71x = 17,430.18 × 7,252.90
  4. Step 4: Simplify right side
    12,629.71x = 126,419,240.13
  5. Step 5: Solve for x
    x = 126,419,240.13/12,629.71
  6. Step 6: Final answer
    x = 10,009.67

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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.