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Finding the Fourth Proportional to 3,358.68, 5,037 and 1,277.16

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Solution

The fourth proportional to 3,358.68, 5,037 and 1,277.16 is: 1,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.68 : 5,037 = 1,277.16 : x
  2. Step 2: Convert to fraction form
    3,358.68/5,037 = 1,277.16/x
  3. Step 3: Cross multiply
    3,358.68x = 5,037 × 1,277.16
  4. Step 4: Simplify right side
    3,358.68x = 6,433,054.92
  5. Step 5: Solve for x
    x = 6,433,054.92/3,358.68
  6. Step 6: Final answer
    x = 1,915.35

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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.