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Finding the Fourth Proportional to 11,918.16, 16,457.16 and 8,389.20

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Solution

The fourth proportional to 11,918.16, 16,457.16 and 8,389.20 is: 11,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.16 : 16,457.16 = 8,389.20 : x
  2. Step 2: Convert to fraction form
    11,918.16/16,457.16 = 8,389.20/x
  3. Step 3: Cross multiply
    11,918.16x = 16,457.16 × 8,389.20
  4. Step 4: Simplify right side
    11,918.16x = 138,062,406.67
  5. Step 5: Solve for x
    x = 138,062,406.67/11,918.16
  6. Step 6: Final answer
    x = 11,584.20

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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.