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Finding the Fourth Proportional to 9,645.42, 13,309.88 and 8,940.18

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Solution

The fourth proportional to 9,645.42, 13,309.88 and 8,940.18 is: 12,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.42 : 13,309.88 = 8,940.18 : x
  2. Step 2: Convert to fraction form
    9,645.42/13,309.88 = 8,940.18/x
  3. Step 3: Cross multiply
    9,645.42x = 13,309.88 × 8,940.18
  4. Step 4: Simplify right side
    9,645.42x = 118,992,678.28
  5. Step 5: Solve for x
    x = 118,992,678.28/9,645.42
  6. Step 6: Final answer
    x = 12,336.70

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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.