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Finding the Fourth Proportional to 3,909.80, 5,866.08 and 1,312.74

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Solution

The fourth proportional to 3,909.80, 5,866.08 and 1,312.74 is: 1,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.80 : 5,866.08 = 1,312.74 : x
  2. Step 2: Convert to fraction form
    3,909.80/5,866.08 = 1,312.74/x
  3. Step 3: Cross multiply
    3,909.80x = 5,866.08 × 1,312.74
  4. Step 4: Simplify right side
    3,909.80x = 7,700,632.94
  5. Step 5: Solve for x
    x = 7,700,632.94/3,909.80
  6. Step 6: Final answer
    x = 1,969.57

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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.