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Finding the Fourth Proportional to 22,079.64, 30,470.02 and 12,008.16

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Solution

The fourth proportional to 22,079.64, 30,470.02 and 12,008.16 is: 16,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,079.64 : 30,470.02 = 12,008.16 : x
  2. Step 2: Convert to fraction form
    22,079.64/30,470.02 = 12,008.16/x
  3. Step 3: Cross multiply
    22,079.64x = 30,470.02 × 12,008.16
  4. Step 4: Simplify right side
    22,079.64x = 365,888,875.36
  5. Step 5: Solve for x
    x = 365,888,875.36/22,079.64
  6. Step 6: Final answer
    x = 16,571.32

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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.