Home / 1,438.16-2,154.36-735.35

Finding the Fourth Proportional to 1,438.16, 2,154.36 and 735.35

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Solution

The fourth proportional to 1,438.16, 2,154.36 and 735.35 is: 1,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.16 : 2,154.36 = 735.35 : x
  2. Step 2: Convert to fraction form
    1,438.16/2,154.36 = 735.35/x
  3. Step 3: Cross multiply
    1,438.16x = 2,154.36 × 735.35
  4. Step 4: Simplify right side
    1,438.16x = 1,584,197.85
  5. Step 5: Solve for x
    x = 1,584,197.85/1,438.16
  6. Step 6: Final answer
    x = 1,101.54

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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.