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Finding the Fourth Proportional to 12,964.65, 17,891.79 and 7,301.70

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Solution

The fourth proportional to 12,964.65, 17,891.79 and 7,301.70 is: 10,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.65 : 17,891.79 = 7,301.70 : x
  2. Step 2: Convert to fraction form
    12,964.65/17,891.79 = 7,301.70/x
  3. Step 3: Cross multiply
    12,964.65x = 17,891.79 × 7,301.70
  4. Step 4: Simplify right side
    12,964.65x = 130,640,483.04
  5. Step 5: Solve for x
    x = 130,640,483.04/12,964.65
  6. Step 6: Final answer
    x = 10,076.67

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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.