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Finding the Fourth Proportional to 7,943.76, 10,953.04 and 6,446.96

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Solution

The fourth proportional to 7,943.76, 10,953.04 and 6,446.96 is: 8,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.76 : 10,953.04 = 6,446.96 : x
  2. Step 2: Convert to fraction form
    7,943.76/10,953.04 = 6,446.96/x
  3. Step 3: Cross multiply
    7,943.76x = 10,953.04 × 6,446.96
  4. Step 4: Simplify right side
    7,943.76x = 70,613,810.76
  5. Step 5: Solve for x
    x = 70,613,810.76/7,943.76
  6. Step 6: Final answer
    x = 8,889.22

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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.