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Finding the Fourth Proportional to 10,722.11, 14,801.54 and 7,187.67

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Solution

The fourth proportional to 10,722.11, 14,801.54 and 7,187.67 is: 9,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.11 : 14,801.54 = 7,187.67 : x
  2. Step 2: Convert to fraction form
    10,722.11/14,801.54 = 7,187.67/x
  3. Step 3: Cross multiply
    10,722.11x = 14,801.54 × 7,187.67
  4. Step 4: Simplify right side
    10,722.11x = 106,388,549.07
  5. Step 5: Solve for x
    x = 106,388,549.07/10,722.11
  6. Step 6: Final answer
    x = 9,922.36

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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.