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Finding the Fourth Proportional to 3,765.42, 5,648.04 and 992.28

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Solution

The fourth proportional to 3,765.42, 5,648.04 and 992.28 is: 1,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.42 : 5,648.04 = 992.28 : x
  2. Step 2: Convert to fraction form
    3,765.42/5,648.04 = 992.28/x
  3. Step 3: Cross multiply
    3,765.42x = 5,648.04 × 992.28
  4. Step 4: Simplify right side
    3,765.42x = 5,604,437.13
  5. Step 5: Solve for x
    x = 5,604,437.13/3,765.42
  6. Step 6: Final answer
    x = 1,488.40

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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.