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Finding the Fourth Proportional to 13,038.76, 17,986.86 and 8,250.65

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Solution

The fourth proportional to 13,038.76, 17,986.86 and 8,250.65 is: 11,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.76 : 17,986.86 = 8,250.65 : x
  2. Step 2: Convert to fraction form
    13,038.76/17,986.86 = 8,250.65/x
  3. Step 3: Cross multiply
    13,038.76x = 17,986.86 × 8,250.65
  4. Step 4: Simplify right side
    13,038.76x = 148,403,245.21
  5. Step 5: Solve for x
    x = 148,403,245.21/13,038.76
  6. Step 6: Final answer
    x = 11,381.70

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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.