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Finding the Fourth Proportional to 4,535, 6,803.52 and 1,613.28

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Solution

The fourth proportional to 4,535, 6,803.52 and 1,613.28 is: 2,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535 : 6,803.52 = 1,613.28 : x
  2. Step 2: Convert to fraction form
    4,535/6,803.52 = 1,613.28/x
  3. Step 3: Cross multiply
    4,535x = 6,803.52 × 1,613.28
  4. Step 4: Simplify right side
    4,535x = 10,975,982.75
  5. Step 5: Solve for x
    x = 10,975,982.75/4,535
  6. Step 6: Final answer
    x = 2,420.28

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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.