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Finding the Fourth Proportional to 2,686.84, 4,030.26 and 955.47

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Solution

The fourth proportional to 2,686.84, 4,030.26 and 955.47 is: 1,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.84 : 4,030.26 = 955.47 : x
  2. Step 2: Convert to fraction form
    2,686.84/4,030.26 = 955.47/x
  3. Step 3: Cross multiply
    2,686.84x = 4,030.26 × 955.47
  4. Step 4: Simplify right side
    2,686.84x = 3,850,792.52
  5. Step 5: Solve for x
    x = 3,850,792.52/2,686.84
  6. Step 6: Final answer
    x = 1,433.21

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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.