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Finding the Fourth Proportional to 5,636, 7,777.68 and 3,152.48

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Solution

The fourth proportional to 5,636, 7,777.68 and 3,152.48 is: 4,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636 : 7,777.68 = 3,152.48 : x
  2. Step 2: Convert to fraction form
    5,636/7,777.68 = 3,152.48/x
  3. Step 3: Cross multiply
    5,636x = 7,777.68 × 3,152.48
  4. Step 4: Simplify right side
    5,636x = 24,518,980.65
  5. Step 5: Solve for x
    x = 24,518,980.65/5,636
  6. Step 6: Final answer
    x = 4,350.42

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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.