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Finding the Fourth Proportional to 11,892.80, 16,412.28 and 7,176.08

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Solution

The fourth proportional to 11,892.80, 16,412.28 and 7,176.08 is: 9,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.80 : 16,412.28 = 7,176.08 : x
  2. Step 2: Convert to fraction form
    11,892.80/16,412.28 = 7,176.08/x
  3. Step 3: Cross multiply
    11,892.80x = 16,412.28 × 7,176.08
  4. Step 4: Simplify right side
    11,892.80x = 117,775,834.26
  5. Step 5: Solve for x
    x = 117,775,834.26/11,892.80
  6. Step 6: Final answer
    x = 9,903.12

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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.