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Finding the Fourth Proportional to 11,818.16, 16,309.84 and 6,784.01

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Solution

The fourth proportional to 11,818.16, 16,309.84 and 6,784.01 is: 9,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.16 : 16,309.84 = 6,784.01 : x
  2. Step 2: Convert to fraction form
    11,818.16/16,309.84 = 6,784.01/x
  3. Step 3: Cross multiply
    11,818.16x = 16,309.84 × 6,784.01
  4. Step 4: Simplify right side
    11,818.16x = 110,646,124.51
  5. Step 5: Solve for x
    x = 110,646,124.51/11,818.16
  6. Step 6: Final answer
    x = 9,362.38

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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.