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Finding the Fourth Proportional to 13,007.87, 17,950.71 and 7,039.40

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Solution

The fourth proportional to 13,007.87, 17,950.71 and 7,039.40 is: 9,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.87 : 17,950.71 = 7,039.40 : x
  2. Step 2: Convert to fraction form
    13,007.87/17,950.71 = 7,039.40/x
  3. Step 3: Cross multiply
    13,007.87x = 17,950.71 × 7,039.40
  4. Step 4: Simplify right side
    13,007.87x = 126,362,227.97
  5. Step 5: Solve for x
    x = 126,362,227.97/13,007.87
  6. Step 6: Final answer
    x = 9,714.29

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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.