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Finding the Fourth Proportional to 5,145.77, 7,714.07 and 1,858.13

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Solution

The fourth proportional to 5,145.77, 7,714.07 and 1,858.13 is: 2,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.77 : 7,714.07 = 1,858.13 : x
  2. Step 2: Convert to fraction form
    5,145.77/7,714.07 = 1,858.13/x
  3. Step 3: Cross multiply
    5,145.77x = 7,714.07 × 1,858.13
  4. Step 4: Simplify right side
    5,145.77x = 14,333,744.89
  5. Step 5: Solve for x
    x = 14,333,744.89/5,145.77
  6. Step 6: Final answer
    x = 2,785.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.