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Finding the Fourth Proportional to 9,141.86, 13,714.86 and 2,902.25

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Solution

The fourth proportional to 9,141.86, 13,714.86 and 2,902.25 is: 4,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.86 : 13,714.86 = 2,902.25 : x
  2. Step 2: Convert to fraction form
    9,141.86/13,714.86 = 2,902.25/x
  3. Step 3: Cross multiply
    9,141.86x = 13,714.86 × 2,902.25
  4. Step 4: Simplify right side
    9,141.86x = 39,803,952.44
  5. Step 5: Solve for x
    x = 39,803,952.44/9,141.86
  6. Step 6: Final answer
    x = 4,354.03

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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.