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Finding the Fourth Proportional to 7,136.80, 10,707 and 5,762.62

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Solution

The fourth proportional to 7,136.80, 10,707 and 5,762.62 is: 8,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.80 : 10,707 = 5,762.62 : x
  2. Step 2: Convert to fraction form
    7,136.80/10,707 = 5,762.62/x
  3. Step 3: Cross multiply
    7,136.80x = 10,707 × 5,762.62
  4. Step 4: Simplify right side
    7,136.80x = 61,700,372.34
  5. Step 5: Solve for x
    x = 61,700,372.34/7,136.80
  6. Step 6: Final answer
    x = 8,645.38

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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.