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Finding the Fourth Proportional to 3,655.04, 5,482.48 and 919.04

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Solution

The fourth proportional to 3,655.04, 5,482.48 and 919.04 is: 1,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.04 : 5,482.48 = 919.04 : x
  2. Step 2: Convert to fraction form
    3,655.04/5,482.48 = 919.04/x
  3. Step 3: Cross multiply
    3,655.04x = 5,482.48 × 919.04
  4. Step 4: Simplify right side
    3,655.04x = 5,038,618.42
  5. Step 5: Solve for x
    x = 5,038,618.42/3,655.04
  6. Step 6: Final answer
    x = 1,378.54

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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.