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Finding the Fourth Proportional to 16,641.12, 22,964.88 and 9,189.12

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Solution

The fourth proportional to 16,641.12, 22,964.88 and 9,189.12 is: 12,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641.12 : 22,964.88 = 9,189.12 : x
  2. Step 2: Convert to fraction form
    16,641.12/22,964.88 = 9,189.12/x
  3. Step 3: Cross multiply
    16,641.12x = 22,964.88 × 9,189.12
  4. Step 4: Simplify right side
    16,641.12x = 211,027,038.11
  5. Step 5: Solve for x
    x = 211,027,038.11/16,641.12
  6. Step 6: Final answer
    x = 12,681.06

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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.