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Finding the Fourth Proportional to 3,918.84, 5,870.16 and 3,140.16

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Solution

The fourth proportional to 3,918.84, 5,870.16 and 3,140.16 is: 4,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.84 : 5,870.16 = 3,140.16 : x
  2. Step 2: Convert to fraction form
    3,918.84/5,870.16 = 3,140.16/x
  3. Step 3: Cross multiply
    3,918.84x = 5,870.16 × 3,140.16
  4. Step 4: Simplify right side
    3,918.84x = 18,433,241.63
  5. Step 5: Solve for x
    x = 18,433,241.63/3,918.84
  6. Step 6: Final answer
    x = 4,703.75

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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.