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Finding the Fourth Proportional to 1,810.86, 2,715 and 756.64

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Solution

The fourth proportional to 1,810.86, 2,715 and 756.64 is: 1,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.86 : 2,715 = 756.64 : x
  2. Step 2: Convert to fraction form
    1,810.86/2,715 = 756.64/x
  3. Step 3: Cross multiply
    1,810.86x = 2,715 × 756.64
  4. Step 4: Simplify right side
    1,810.86x = 2,054,277.60
  5. Step 5: Solve for x
    x = 2,054,277.60/1,810.86
  6. Step 6: Final answer
    x = 1,134.42

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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.