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Finding the Fourth Proportional to 13,123.16, 18,110.12 and 7,154.78

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Solution

The fourth proportional to 13,123.16, 18,110.12 and 7,154.78 is: 9,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.16 : 18,110.12 = 7,154.78 : x
  2. Step 2: Convert to fraction form
    13,123.16/18,110.12 = 7,154.78/x
  3. Step 3: Cross multiply
    13,123.16x = 18,110.12 × 7,154.78
  4. Step 4: Simplify right side
    13,123.16x = 129,573,798.05
  5. Step 5: Solve for x
    x = 129,573,798.05/13,123.16
  6. Step 6: Final answer
    x = 9,873.67

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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.