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Finding the Fourth Proportional to 5,145.69, 7,718.54 and 1,858.78

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Solution

The fourth proportional to 5,145.69, 7,718.54 and 1,858.78 is: 2,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.69 : 7,718.54 = 1,858.78 : x
  2. Step 2: Convert to fraction form
    5,145.69/7,718.54 = 1,858.78/x
  3. Step 3: Cross multiply
    5,145.69x = 7,718.54 × 1,858.78
  4. Step 4: Simplify right side
    5,145.69x = 14,347,068.14
  5. Step 5: Solve for x
    x = 14,347,068.14/5,145.69
  6. Step 6: Final answer
    x = 2,788.17

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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.