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Finding the Fourth Proportional to 16,503.84, 22,776.88 and 9,431.28

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Solution

The fourth proportional to 16,503.84, 22,776.88 and 9,431.28 is: 13,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.84 : 22,776.88 = 9,431.28 : x
  2. Step 2: Convert to fraction form
    16,503.84/22,776.88 = 9,431.28/x
  3. Step 3: Cross multiply
    16,503.84x = 22,776.88 × 9,431.28
  4. Step 4: Simplify right side
    16,503.84x = 214,815,132.81
  5. Step 5: Solve for x
    x = 214,815,132.81/16,503.84
  6. Step 6: Final answer
    x = 13,016.07

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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.