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Finding the Fourth Proportional to 3,718, 5,130.48 and 2,146.16

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Solution

The fourth proportional to 3,718, 5,130.48 and 2,146.16 is: 2,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718 : 5,130.48 = 2,146.16 : x
  2. Step 2: Convert to fraction form
    3,718/5,130.48 = 2,146.16/x
  3. Step 3: Cross multiply
    3,718x = 5,130.48 × 2,146.16
  4. Step 4: Simplify right side
    3,718x = 11,010,830.96
  5. Step 5: Solve for x
    x = 11,010,830.96/3,718
  6. Step 6: Final answer
    x = 2,961.49

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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.