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Finding the Fourth Proportional to 10,997.80, 16,487.10 and 9,831.40

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Solution

The fourth proportional to 10,997.80, 16,487.10 and 9,831.40 is: 14,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.80 : 16,487.10 = 9,831.40 : x
  2. Step 2: Convert to fraction form
    10,997.80/16,487.10 = 9,831.40/x
  3. Step 3: Cross multiply
    10,997.80x = 16,487.10 × 9,831.40
  4. Step 4: Simplify right side
    10,997.80x = 162,091,274.94
  5. Step 5: Solve for x
    x = 162,091,274.94/10,997.80
  6. Step 6: Final answer
    x = 14,738.52

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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.