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Finding the Fourth Proportional to 13,006.16, 17,947 and 7,340.61

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Solution

The fourth proportional to 13,006.16, 17,947 and 7,340.61 is: 10,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.16 : 17,947 = 7,340.61 : x
  2. Step 2: Convert to fraction form
    13,006.16/17,947 = 7,340.61/x
  3. Step 3: Cross multiply
    13,006.16x = 17,947 × 7,340.61
  4. Step 4: Simplify right side
    13,006.16x = 131,741,927.67
  5. Step 5: Solve for x
    x = 131,741,927.67/13,006.16
  6. Step 6: Final answer
    x = 10,129.19

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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.