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Finding the Fourth Proportional to 3,406.79, 5,110.40 and 907.93

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Solution

The fourth proportional to 3,406.79, 5,110.40 and 907.93 is: 1,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.79 : 5,110.40 = 907.93 : x
  2. Step 2: Convert to fraction form
    3,406.79/5,110.40 = 907.93/x
  3. Step 3: Cross multiply
    3,406.79x = 5,110.40 × 907.93
  4. Step 4: Simplify right side
    3,406.79x = 4,639,880.93
  5. Step 5: Solve for x
    x = 4,639,880.93/3,406.79
  6. Step 6: Final answer
    x = 1,361.95

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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.