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Finding the Fourth Proportional to 2,440, 3,367.36 and 1,509.12

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Solution

The fourth proportional to 2,440, 3,367.36 and 1,509.12 is: 2,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440 : 3,367.36 = 1,509.12 : x
  2. Step 2: Convert to fraction form
    2,440/3,367.36 = 1,509.12/x
  3. Step 3: Cross multiply
    2,440x = 3,367.36 × 1,509.12
  4. Step 4: Simplify right side
    2,440x = 5,081,750.32
  5. Step 5: Solve for x
    x = 5,081,750.32/2,440
  6. Step 6: Final answer
    x = 2,082.68

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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.