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Finding the Fourth Proportional to 13,497.10, 18,613.87 and 8,461.87

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Solution

The fourth proportional to 13,497.10, 18,613.87 and 8,461.87 is: 11,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.10 : 18,613.87 = 8,461.87 : x
  2. Step 2: Convert to fraction form
    13,497.10/18,613.87 = 8,461.87/x
  3. Step 3: Cross multiply
    13,497.10x = 18,613.87 × 8,461.87
  4. Step 4: Simplify right side
    13,497.10x = 157,508,080.45
  5. Step 5: Solve for x
    x = 157,508,080.45/13,497.10
  6. Step 6: Final answer
    x = 11,669.77

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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.