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Finding the Fourth Proportional to 3,948.42, 5,918.50 and 1,607.42

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Solution

The fourth proportional to 3,948.42, 5,918.50 and 1,607.42 is: 2,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.42 : 5,918.50 = 1,607.42 : x
  2. Step 2: Convert to fraction form
    3,948.42/5,918.50 = 1,607.42/x
  3. Step 3: Cross multiply
    3,948.42x = 5,918.50 × 1,607.42
  4. Step 4: Simplify right side
    3,948.42x = 9,513,515.27
  5. Step 5: Solve for x
    x = 9,513,515.27/3,948.42
  6. Step 6: Final answer
    x = 2,409.45

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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.