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Finding the Fourth Proportional to 10,831.60, 16,223.10 and 8,887.60

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Solution

The fourth proportional to 10,831.60, 16,223.10 and 8,887.60 is: 13,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.60 : 16,223.10 = 8,887.60 : x
  2. Step 2: Convert to fraction form
    10,831.60/16,223.10 = 8,887.60/x
  3. Step 3: Cross multiply
    10,831.60x = 16,223.10 × 8,887.60
  4. Step 4: Simplify right side
    10,831.60x = 144,184,423.56
  5. Step 5: Solve for x
    x = 144,184,423.56/10,831.60
  6. Step 6: Final answer
    x = 13,311.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.