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Finding the Fourth Proportional to 3,681.09, 5,521.50 and 907.77

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Solution

The fourth proportional to 3,681.09, 5,521.50 and 907.77 is: 1,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.09 : 5,521.50 = 907.77 : x
  2. Step 2: Convert to fraction form
    3,681.09/5,521.50 = 907.77/x
  3. Step 3: Cross multiply
    3,681.09x = 5,521.50 × 907.77
  4. Step 4: Simplify right side
    3,681.09x = 5,012,252.06
  5. Step 5: Solve for x
    x = 5,012,252.06/3,681.09
  6. Step 6: Final answer
    x = 1,361.62

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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.