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Finding the Fourth Proportional to 11,301.30, 16,951.95 and 9,114.30

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Solution

The fourth proportional to 11,301.30, 16,951.95 and 9,114.30 is: 13,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.30 : 16,951.95 = 9,114.30 : x
  2. Step 2: Convert to fraction form
    11,301.30/16,951.95 = 9,114.30/x
  3. Step 3: Cross multiply
    11,301.30x = 16,951.95 × 9,114.30
  4. Step 4: Simplify right side
    11,301.30x = 154,505,157.89
  5. Step 5: Solve for x
    x = 154,505,157.89/11,301.30
  6. Step 6: Final answer
    x = 13,671.45

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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.