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Finding the Fourth Proportional to 7,136.65, 10,702.21 and 2,455.77

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Solution

The fourth proportional to 7,136.65, 10,702.21 and 2,455.77 is: 3,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.65 : 10,702.21 = 2,455.77 : x
  2. Step 2: Convert to fraction form
    7,136.65/10,702.21 = 2,455.77/x
  3. Step 3: Cross multiply
    7,136.65x = 10,702.21 × 2,455.77
  4. Step 4: Simplify right side
    7,136.65x = 26,282,166.25
  5. Step 5: Solve for x
    x = 26,282,166.25/7,136.65
  6. Step 6: Final answer
    x = 3,682.70

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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.