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Finding the Fourth Proportional to 2,748, 3,792.24 and 1,506.08

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Solution

The fourth proportional to 2,748, 3,792.24 and 1,506.08 is: 2,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748 : 3,792.24 = 1,506.08 : x
  2. Step 2: Convert to fraction form
    2,748/3,792.24 = 1,506.08/x
  3. Step 3: Cross multiply
    2,748x = 3,792.24 × 1,506.08
  4. Step 4: Simplify right side
    2,748x = 5,711,416.82
  5. Step 5: Solve for x
    x = 5,711,416.82/2,748
  6. Step 6: Final answer
    x = 2,078.39

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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.