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Finding the Fourth Proportional to 13,762.28, 18,992.16 and 7,474.65

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Solution

The fourth proportional to 13,762.28, 18,992.16 and 7,474.65 is: 10,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.28 : 18,992.16 = 7,474.65 : x
  2. Step 2: Convert to fraction form
    13,762.28/18,992.16 = 7,474.65/x
  3. Step 3: Cross multiply
    13,762.28x = 18,992.16 × 7,474.65
  4. Step 4: Simplify right side
    13,762.28x = 141,959,748.74
  5. Step 5: Solve for x
    x = 141,959,748.74/13,762.28
  6. Step 6: Final answer
    x = 10,315.14

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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.