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Finding the Fourth Proportional to 11,915.70, 17,914.06 and 9,740.22

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Solution

The fourth proportional to 11,915.70, 17,914.06 and 9,740.22 is: 14,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.70 : 17,914.06 = 9,740.22 : x
  2. Step 2: Convert to fraction form
    11,915.70/17,914.06 = 9,740.22/x
  3. Step 3: Cross multiply
    11,915.70x = 17,914.06 × 9,740.22
  4. Step 4: Simplify right side
    11,915.70x = 174,486,885.49
  5. Step 5: Solve for x
    x = 174,486,885.49/11,915.70
  6. Step 6: Final answer
    x = 14,643.44

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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.