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Finding the Fourth Proportional to 10,947, 15,104.08 and 6,696.51

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Solution

The fourth proportional to 10,947, 15,104.08 and 6,696.51 is: 9,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947 : 15,104.08 = 6,696.51 : x
  2. Step 2: Convert to fraction form
    10,947/15,104.08 = 6,696.51/x
  3. Step 3: Cross multiply
    10,947x = 15,104.08 × 6,696.51
  4. Step 4: Simplify right side
    10,947x = 101,144,622.76
  5. Step 5: Solve for x
    x = 101,144,622.76/10,947
  6. Step 6: Final answer
    x = 9,239.48

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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.