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Finding the Fourth Proportional to 7,864.92, 10,831.68 and 7,840.80

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Solution

The fourth proportional to 7,864.92, 10,831.68 and 7,840.80 is: 10,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.92 : 10,831.68 = 7,840.80 : x
  2. Step 2: Convert to fraction form
    7,864.92/10,831.68 = 7,840.80/x
  3. Step 3: Cross multiply
    7,864.92x = 10,831.68 × 7,840.80
  4. Step 4: Simplify right side
    7,864.92x = 84,929,036.54
  5. Step 5: Solve for x
    x = 84,929,036.54/7,864.92
  6. Step 6: Final answer
    x = 10,798.46

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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.