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Finding the Fourth Proportional to 16,331.84, 22,538 and 9,258.80

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Solution

The fourth proportional to 16,331.84, 22,538 and 9,258.80 is: 12,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331.84 : 22,538 = 9,258.80 : x
  2. Step 2: Convert to fraction form
    16,331.84/22,538 = 9,258.80/x
  3. Step 3: Cross multiply
    16,331.84x = 22,538 × 9,258.80
  4. Step 4: Simplify right side
    16,331.84x = 208,674,834.40
  5. Step 5: Solve for x
    x = 208,674,834.40/16,331.84
  6. Step 6: Final answer
    x = 12,777.18

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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.