Home / 3,646.40-5,466.32-1,306

Finding the Fourth Proportional to 3,646.40, 5,466.32 and 1,306

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Solution

The fourth proportional to 3,646.40, 5,466.32 and 1,306 is: 1,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.40 : 5,466.32 = 1,306 : x
  2. Step 2: Convert to fraction form
    3,646.40/5,466.32 = 1,306/x
  3. Step 3: Cross multiply
    3,646.40x = 5,466.32 × 1,306
  4. Step 4: Simplify right side
    3,646.40x = 7,139,013.92
  5. Step 5: Solve for x
    x = 7,139,013.92/3,646.40
  6. Step 6: Final answer
    x = 1,957.83

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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.