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Finding the Fourth Proportional to 2,686.72, 4,028.80 and 954.24

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Solution

The fourth proportional to 2,686.72, 4,028.80 and 954.24 is: 1,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.72 : 4,028.80 = 954.24 : x
  2. Step 2: Convert to fraction form
    2,686.72/4,028.80 = 954.24/x
  3. Step 3: Cross multiply
    2,686.72x = 4,028.80 × 954.24
  4. Step 4: Simplify right side
    2,686.72x = 3,844,442.11
  5. Step 5: Solve for x
    x = 3,844,442.11/2,686.72
  6. Step 6: Final answer
    x = 1,430.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.