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Finding the Fourth Proportional to 11,800.64, 16,276.34 and 8,017.20

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Solution

The fourth proportional to 11,800.64, 16,276.34 and 8,017.20 is: 11,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.64 : 16,276.34 = 8,017.20 : x
  2. Step 2: Convert to fraction form
    11,800.64/16,276.34 = 8,017.20/x
  3. Step 3: Cross multiply
    11,800.64x = 16,276.34 × 8,017.20
  4. Step 4: Simplify right side
    11,800.64x = 130,490,693.09
  5. Step 5: Solve for x
    x = 130,490,693.09/11,800.64
  6. Step 6: Final answer
    x = 11,057.93

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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.