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Finding the Fourth Proportional to 13,007.76, 17,950.74 and 7,039.49

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Solution

The fourth proportional to 13,007.76, 17,950.74 and 7,039.49 is: 9,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.76 : 17,950.74 = 7,039.49 : x
  2. Step 2: Convert to fraction form
    13,007.76/17,950.74 = 7,039.49/x
  3. Step 3: Cross multiply
    13,007.76x = 17,950.74 × 7,039.49
  4. Step 4: Simplify right side
    13,007.76x = 126,363,964.97
  5. Step 5: Solve for x
    x = 126,363,964.97/13,007.76
  6. Step 6: Final answer
    x = 9,714.51

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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.