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Finding the Fourth Proportional to 13,758.48, 18,986.96 and 7,470.88

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Solution

The fourth proportional to 13,758.48, 18,986.96 and 7,470.88 is: 10,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.48 : 18,986.96 = 7,470.88 : x
  2. Step 2: Convert to fraction form
    13,758.48/18,986.96 = 7,470.88/x
  3. Step 3: Cross multiply
    13,758.48x = 18,986.96 × 7,470.88
  4. Step 4: Simplify right side
    13,758.48x = 141,849,299.72
  5. Step 5: Solve for x
    x = 141,849,299.72/13,758.48
  6. Step 6: Final answer
    x = 10,309.95

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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.