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Finding the Fourth Proportional to 11,642.94, 16,062.30 and 9,412.20

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Solution

The fourth proportional to 11,642.94, 16,062.30 and 9,412.20 is: 12,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.94 : 16,062.30 = 9,412.20 : x
  2. Step 2: Convert to fraction form
    11,642.94/16,062.30 = 9,412.20/x
  3. Step 3: Cross multiply
    11,642.94x = 16,062.30 × 9,412.20
  4. Step 4: Simplify right side
    11,642.94x = 151,181,580.06
  5. Step 5: Solve for x
    x = 151,181,580.06/11,642.94
  6. Step 6: Final answer
    x = 12,984.83

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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.