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Finding the Fourth Proportional to 11,915.76, 16,453.18 and 9,674.08

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Solution

The fourth proportional to 11,915.76, 16,453.18 and 9,674.08 is: 13,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.76 : 16,453.18 = 9,674.08 : x
  2. Step 2: Convert to fraction form
    11,915.76/16,453.18 = 9,674.08/x
  3. Step 3: Cross multiply
    11,915.76x = 16,453.18 × 9,674.08
  4. Step 4: Simplify right side
    11,915.76x = 159,169,388.67
  5. Step 5: Solve for x
    x = 159,169,388.67/11,915.76
  6. Step 6: Final answer
    x = 13,357.89

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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.