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Finding the Fourth Proportional to 5,136, 7,705.28 and 1,488

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Solution

The fourth proportional to 5,136, 7,705.28 and 1,488 is: 2,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136 : 7,705.28 = 1,488 : x
  2. Step 2: Convert to fraction form
    5,136/7,705.28 = 1,488/x
  3. Step 3: Cross multiply
    5,136x = 7,705.28 × 1,488
  4. Step 4: Simplify right side
    5,136x = 11,465,456.64
  5. Step 5: Solve for x
    x = 11,465,456.64/5,136
  6. Step 6: Final answer
    x = 2,232.37

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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.