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Finding the Fourth Proportional to 7,438.34, 11,174.91 and 7,018.01

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Solution

The fourth proportional to 7,438.34, 11,174.91 and 7,018.01 is: 10,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.34 : 11,174.91 = 7,018.01 : x
  2. Step 2: Convert to fraction form
    7,438.34/11,174.91 = 7,018.01/x
  3. Step 3: Cross multiply
    7,438.34x = 11,174.91 × 7,018.01
  4. Step 4: Simplify right side
    7,438.34x = 78,425,574.25
  5. Step 5: Solve for x
    x = 78,425,574.25/7,438.34
  6. Step 6: Final answer
    x = 10,543.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.