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Finding the Fourth Proportional to 7,701.16, 11,551.73 and 1,857.77

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Solution

The fourth proportional to 7,701.16, 11,551.73 and 1,857.77 is: 2,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.16 : 11,551.73 = 1,857.77 : x
  2. Step 2: Convert to fraction form
    7,701.16/11,551.73 = 1,857.77/x
  3. Step 3: Cross multiply
    7,701.16x = 11,551.73 × 1,857.77
  4. Step 4: Simplify right side
    7,701.16x = 21,460,457.44
  5. Step 5: Solve for x
    x = 21,460,457.44/7,701.16
  6. Step 6: Final answer
    x = 2,786.65

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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.