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Finding the Fourth Proportional to 13,007.84, 17,949.68 and 7,701.76

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Solution

The fourth proportional to 13,007.84, 17,949.68 and 7,701.76 is: 10,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.84 : 17,949.68 = 7,701.76 : x
  2. Step 2: Convert to fraction form
    13,007.84/17,949.68 = 7,701.76/x
  3. Step 3: Cross multiply
    13,007.84x = 17,949.68 × 7,701.76
  4. Step 4: Simplify right side
    13,007.84x = 138,244,127.44
  5. Step 5: Solve for x
    x = 138,244,127.44/13,007.84
  6. Step 6: Final answer
    x = 10,627.75

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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.