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Finding the Fourth Proportional to 5,239.50, 7,859.25 and 2,931

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Solution

The fourth proportional to 5,239.50, 7,859.25 and 2,931 is: 4,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.50 : 7,859.25 = 2,931 : x
  2. Step 2: Convert to fraction form
    5,239.50/7,859.25 = 2,931/x
  3. Step 3: Cross multiply
    5,239.50x = 7,859.25 × 2,931
  4. Step 4: Simplify right side
    5,239.50x = 23,035,461.75
  5. Step 5: Solve for x
    x = 23,035,461.75/5,239.50
  6. Step 6: Final answer
    x = 4,396.50

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1.5x scale

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.