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Finding the Fourth Proportional to 13,715.66, 18,927.66 and 7,428.03

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Solution

The fourth proportional to 13,715.66, 18,927.66 and 7,428.03 is: 10,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.66 : 18,927.66 = 7,428.03 : x
  2. Step 2: Convert to fraction form
    13,715.66/18,927.66 = 7,428.03/x
  3. Step 3: Cross multiply
    13,715.66x = 18,927.66 × 7,428.03
  4. Step 4: Simplify right side
    13,715.66x = 140,595,226.31
  5. Step 5: Solve for x
    x = 140,595,226.31/13,715.66
  6. Step 6: Final answer
    x = 10,250.71

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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.