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Finding the Fourth Proportional to 5,220.42, 7,821.53 and 4,348.53

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Solution

The fourth proportional to 5,220.42, 7,821.53 and 4,348.53 is: 6,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.42 : 7,821.53 = 4,348.53 : x
  2. Step 2: Convert to fraction form
    5,220.42/7,821.53 = 4,348.53/x
  3. Step 3: Cross multiply
    5,220.42x = 7,821.53 × 4,348.53
  4. Step 4: Simplify right side
    5,220.42x = 34,012,136.11
  5. Step 5: Solve for x
    x = 34,012,136.11/5,220.42
  6. Step 6: Final answer
    x = 6,515.21

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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.