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Finding the Fourth Proportional to 12,205.40, 18,308.10 and 9,289.40

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Solution

The fourth proportional to 12,205.40, 18,308.10 and 9,289.40 is: 13,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.40 : 18,308.10 = 9,289.40 : x
  2. Step 2: Convert to fraction form
    12,205.40/18,308.10 = 9,289.40/x
  3. Step 3: Cross multiply
    12,205.40x = 18,308.10 × 9,289.40
  4. Step 4: Simplify right side
    12,205.40x = 170,071,264.14
  5. Step 5: Solve for x
    x = 170,071,264.14/12,205.40
  6. Step 6: Final answer
    x = 13,934.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.