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Finding the Fourth Proportional to 10,438.70, 14,410.96 and 7,099.34

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Solution

The fourth proportional to 10,438.70, 14,410.96 and 7,099.34 is: 9,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.70 : 14,410.96 = 7,099.34 : x
  2. Step 2: Convert to fraction form
    10,438.70/14,410.96 = 7,099.34/x
  3. Step 3: Cross multiply
    10,438.70x = 14,410.96 × 7,099.34
  4. Step 4: Simplify right side
    10,438.70x = 102,308,304.77
  5. Step 5: Solve for x
    x = 102,308,304.77/10,438.70
  6. Step 6: Final answer
    x = 9,800.87

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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.