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Finding the Fourth Proportional to 2,519.55, 3,776.90 and 875.66

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Solution

The fourth proportional to 2,519.55, 3,776.90 and 875.66 is: 1,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.55 : 3,776.90 = 875.66 : x
  2. Step 2: Convert to fraction form
    2,519.55/3,776.90 = 875.66/x
  3. Step 3: Cross multiply
    2,519.55x = 3,776.90 × 875.66
  4. Step 4: Simplify right side
    2,519.55x = 3,307,256.99
  5. Step 5: Solve for x
    x = 3,307,256.99/2,519.55
  6. Step 6: Final answer
    x = 1,312.64

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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.