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Finding the Fourth Proportional to 9,672.62, 14,505.80 and 3,097.23

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Solution

The fourth proportional to 9,672.62, 14,505.80 and 3,097.23 is: 4,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.62 : 14,505.80 = 3,097.23 : x
  2. Step 2: Convert to fraction form
    9,672.62/14,505.80 = 3,097.23/x
  3. Step 3: Cross multiply
    9,672.62x = 14,505.80 × 3,097.23
  4. Step 4: Simplify right side
    9,672.62x = 44,927,783.45
  5. Step 5: Solve for x
    x = 44,927,783.45/9,672.62
  6. Step 6: Final answer
    x = 4,644.84

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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.