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Finding the Fourth Proportional to 7,220.42, 9,969.81 and 5,652.98

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Solution

The fourth proportional to 7,220.42, 9,969.81 and 5,652.98 is: 7,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.42 : 9,969.81 = 5,652.98 : x
  2. Step 2: Convert to fraction form
    7,220.42/9,969.81 = 5,652.98/x
  3. Step 3: Cross multiply
    7,220.42x = 9,969.81 × 5,652.98
  4. Step 4: Simplify right side
    7,220.42x = 56,359,136.53
  5. Step 5: Solve for x
    x = 56,359,136.53/7,220.42
  6. Step 6: Final answer
    x = 7,805.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.