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Finding the Fourth Proportional to 13,495.84, 18,613.74 and 8,781.64

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Solution

The fourth proportional to 13,495.84, 18,613.74 and 8,781.64 is: 12,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.84 : 18,613.74 = 8,781.64 : x
  2. Step 2: Convert to fraction form
    13,495.84/18,613.74 = 8,781.64/x
  3. Step 3: Cross multiply
    13,495.84x = 18,613.74 × 8,781.64
  4. Step 4: Simplify right side
    13,495.84x = 163,459,163.73
  5. Step 5: Solve for x
    x = 163,459,163.73/13,495.84
  6. Step 6: Final answer
    x = 12,111.82

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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.