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Finding the Fourth Proportional to 13,661.76, 18,854.64 and 8,360.10

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Solution

The fourth proportional to 13,661.76, 18,854.64 and 8,360.10 is: 11,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.76 : 18,854.64 = 8,360.10 : x
  2. Step 2: Convert to fraction form
    13,661.76/18,854.64 = 8,360.10/x
  3. Step 3: Cross multiply
    13,661.76x = 18,854.64 × 8,360.10
  4. Step 4: Simplify right side
    13,661.76x = 157,626,675.86
  5. Step 5: Solve for x
    x = 157,626,675.86/13,661.76
  6. Step 6: Final answer
    x = 11,537.80

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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.