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Finding the Fourth Proportional to 7,889.04, 10,864.80 and 7,864.80

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Solution

The fourth proportional to 7,889.04, 10,864.80 and 7,864.80 is: 10,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.04 : 10,864.80 = 7,864.80 : x
  2. Step 2: Convert to fraction form
    7,889.04/10,864.80 = 7,864.80/x
  3. Step 3: Cross multiply
    7,889.04x = 10,864.80 × 7,864.80
  4. Step 4: Simplify right side
    7,889.04x = 85,449,479.04
  5. Step 5: Solve for x
    x = 85,449,479.04/7,889.04
  6. Step 6: Final answer
    x = 10,831.42

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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.