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Finding the Fourth Proportional to 5,369, 7,409.36 and 3,011.68

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Solution

The fourth proportional to 5,369, 7,409.36 and 3,011.68 is: 4,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369 : 7,409.36 = 3,011.68 : x
  2. Step 2: Convert to fraction form
    5,369/7,409.36 = 3,011.68/x
  3. Step 3: Cross multiply
    5,369x = 7,409.36 × 3,011.68
  4. Step 4: Simplify right side
    5,369x = 22,314,621.32
  5. Step 5: Solve for x
    x = 22,314,621.32/5,369
  6. Step 6: Final answer
    x = 4,156.20

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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.