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Finding the Fourth Proportional to 14,157.50, 19,538.16 and 7,871.90

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Solution

The fourth proportional to 14,157.50, 19,538.16 and 7,871.90 is: 10,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.50 : 19,538.16 = 7,871.90 : x
  2. Step 2: Convert to fraction form
    14,157.50/19,538.16 = 7,871.90/x
  3. Step 3: Cross multiply
    14,157.50x = 19,538.16 × 7,871.90
  4. Step 4: Simplify right side
    14,157.50x = 153,802,441.70
  5. Step 5: Solve for x
    x = 153,802,441.70/14,157.50
  6. Step 6: Final answer
    x = 10,863.67

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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.