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Finding the Fourth Proportional to 3,907.84, 5,862.48 and 1,239.64

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Solution

The fourth proportional to 3,907.84, 5,862.48 and 1,239.64 is: 1,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.84 : 5,862.48 = 1,239.64 : x
  2. Step 2: Convert to fraction form
    3,907.84/5,862.48 = 1,239.64/x
  3. Step 3: Cross multiply
    3,907.84x = 5,862.48 × 1,239.64
  4. Step 4: Simplify right side
    3,907.84x = 7,267,364.71
  5. Step 5: Solve for x
    x = 7,267,364.71/3,907.84
  6. Step 6: Final answer
    x = 1,859.69

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1.5x scale

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.