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Finding the Fourth Proportional to 7,964.76, 10,998 and 6,645.38

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Solution

The fourth proportional to 7,964.76, 10,998 and 6,645.38 is: 9,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.76 : 10,998 = 6,645.38 : x
  2. Step 2: Convert to fraction form
    7,964.76/10,998 = 6,645.38/x
  3. Step 3: Cross multiply
    7,964.76x = 10,998 × 6,645.38
  4. Step 4: Simplify right side
    7,964.76x = 73,085,889.24
  5. Step 5: Solve for x
    x = 73,085,889.24/7,964.76
  6. Step 6: Final answer
    x = 9,176.16

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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.