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Finding the Fourth Proportional to 16,421.06, 22,661.09 and 9,347.49

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Solution

The fourth proportional to 16,421.06, 22,661.09 and 9,347.49 is: 12,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.06 : 22,661.09 = 9,347.49 : x
  2. Step 2: Convert to fraction form
    16,421.06/22,661.09 = 9,347.49/x
  3. Step 3: Cross multiply
    16,421.06x = 22,661.09 × 9,347.49
  4. Step 4: Simplify right side
    16,421.06x = 211,824,312.16
  5. Step 5: Solve for x
    x = 211,824,312.16/16,421.06
  6. Step 6: Final answer
    x = 12,899.55

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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.