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Finding the Fourth Proportional to 3,909.93, 5,865.50 and 1,312.26

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Solution

The fourth proportional to 3,909.93, 5,865.50 and 1,312.26 is: 1,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.93 : 5,865.50 = 1,312.26 : x
  2. Step 2: Convert to fraction form
    3,909.93/5,865.50 = 1,312.26/x
  3. Step 3: Cross multiply
    3,909.93x = 5,865.50 × 1,312.26
  4. Step 4: Simplify right side
    3,909.93x = 7,697,061.03
  5. Step 5: Solve for x
    x = 7,697,061.03/3,909.93
  6. Step 6: Final answer
    x = 1,968.59

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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.