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Finding the Fourth Proportional to 9,107, 13,657.45 and 3,558.90

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Solution

The fourth proportional to 9,107, 13,657.45 and 3,558.90 is: 5,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107 : 13,657.45 = 3,558.90 : x
  2. Step 2: Convert to fraction form
    9,107/13,657.45 = 3,558.90/x
  3. Step 3: Cross multiply
    9,107x = 13,657.45 × 3,558.90
  4. Step 4: Simplify right side
    9,107x = 48,605,498.81
  5. Step 5: Solve for x
    x = 48,605,498.81/9,107
  6. Step 6: Final answer
    x = 5,337.16

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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.