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Finding the Fourth Proportional to 13,029.66, 17,980.81 and 7,061.38

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Solution

The fourth proportional to 13,029.66, 17,980.81 and 7,061.38 is: 9,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.66 : 17,980.81 = 7,061.38 : x
  2. Step 2: Convert to fraction form
    13,029.66/17,980.81 = 7,061.38/x
  3. Step 3: Cross multiply
    13,029.66x = 17,980.81 × 7,061.38
  4. Step 4: Simplify right side
    13,029.66x = 126,969,332.12
  5. Step 5: Solve for x
    x = 126,969,332.12/13,029.66
  6. Step 6: Final answer
    x = 9,744.64

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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.