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Finding the Fourth Proportional to 7,857.01, 10,831.51 and 6,249.57

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Solution

The fourth proportional to 7,857.01, 10,831.51 and 6,249.57 is: 8,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.01 : 10,831.51 = 6,249.57 : x
  2. Step 2: Convert to fraction form
    7,857.01/10,831.51 = 6,249.57/x
  3. Step 3: Cross multiply
    7,857.01x = 10,831.51 × 6,249.57
  4. Step 4: Simplify right side
    7,857.01x = 67,692,247.14
  5. Step 5: Solve for x
    x = 67,692,247.14/7,857.01
  6. Step 6: Final answer
    x = 8,615.52

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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.