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Finding the Fourth Proportional to 13,017, 19,505.78 and 8,618.70

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Solution

The fourth proportional to 13,017, 19,505.78 and 8,618.70 is: 12,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017 : 19,505.78 = 8,618.70 : x
  2. Step 2: Convert to fraction form
    13,017/19,505.78 = 8,618.70/x
  3. Step 3: Cross multiply
    13,017x = 19,505.78 × 8,618.70
  4. Step 4: Simplify right side
    13,017x = 168,114,466.09
  5. Step 5: Solve for x
    x = 168,114,466.09/13,017
  6. Step 6: Final answer
    x = 12,914.99

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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.