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Finding the Fourth Proportional to 7,358.90, 11,038.47 and 2,164.90

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Solution

The fourth proportional to 7,358.90, 11,038.47 and 2,164.90 is: 3,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.90 : 11,038.47 = 2,164.90 : x
  2. Step 2: Convert to fraction form
    7,358.90/11,038.47 = 2,164.90/x
  3. Step 3: Cross multiply
    7,358.90x = 11,038.47 × 2,164.90
  4. Step 4: Simplify right side
    7,358.90x = 23,897,183.70
  5. Step 5: Solve for x
    x = 23,897,183.70/7,358.90
  6. Step 6: Final answer
    x = 3,247.39

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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.