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Finding the Fourth Proportional to 8,746.10, 13,051.94 and 7,811.90

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Solution

The fourth proportional to 8,746.10, 13,051.94 and 7,811.90 is: 11,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.10 : 13,051.94 = 7,811.90 : x
  2. Step 2: Convert to fraction form
    8,746.10/13,051.94 = 7,811.90/x
  3. Step 3: Cross multiply
    8,746.10x = 13,051.94 × 7,811.90
  4. Step 4: Simplify right side
    8,746.10x = 101,960,450.09
  5. Step 5: Solve for x
    x = 101,960,450.09/8,746.10
  6. Step 6: Final answer
    x = 11,657.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.