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Finding the Fourth Proportional to 13,123.78, 18,110.13 and 7,457.77

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Solution

The fourth proportional to 13,123.78, 18,110.13 and 7,457.77 is: 10,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.78 : 18,110.13 = 7,457.77 : x
  2. Step 2: Convert to fraction form
    13,123.78/18,110.13 = 7,457.77/x
  3. Step 3: Cross multiply
    13,123.78x = 18,110.13 × 7,457.77
  4. Step 4: Simplify right side
    13,123.78x = 135,061,184.21
  5. Step 5: Solve for x
    x = 135,061,184.21/13,123.78
  6. Step 6: Final answer
    x = 10,291.33

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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.