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Finding the Fourth Proportional to 3,605.44, 5,409.84 and 3,547.20

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Solution

The fourth proportional to 3,605.44, 5,409.84 and 3,547.20 is: 5,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.44 : 5,409.84 = 3,547.20 : x
  2. Step 2: Convert to fraction form
    3,605.44/5,409.84 = 3,547.20/x
  3. Step 3: Cross multiply
    3,605.44x = 5,409.84 × 3,547.20
  4. Step 4: Simplify right side
    3,605.44x = 19,189,784.45
  5. Step 5: Solve for x
    x = 19,189,784.45/3,605.44
  6. Step 6: Final answer
    x = 5,322.45

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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.