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Finding the Fourth Proportional to 10,500.76, 14,500.38 and 7,843.60

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Solution

The fourth proportional to 10,500.76, 14,500.38 and 7,843.60 is: 10,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.76 : 14,500.38 = 7,843.60 : x
  2. Step 2: Convert to fraction form
    10,500.76/14,500.38 = 7,843.60/x
  3. Step 3: Cross multiply
    10,500.76x = 14,500.38 × 7,843.60
  4. Step 4: Simplify right side
    10,500.76x = 113,735,180.57
  5. Step 5: Solve for x
    x = 113,735,180.57/10,500.76
  6. Step 6: Final answer
    x = 10,831.14

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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.