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Finding the Fourth Proportional to 3,607.77, 5,409.63 and 1,143.21

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Solution

The fourth proportional to 3,607.77, 5,409.63 and 1,143.21 is: 1,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.77 : 5,409.63 = 1,143.21 : x
  2. Step 2: Convert to fraction form
    3,607.77/5,409.63 = 1,143.21/x
  3. Step 3: Cross multiply
    3,607.77x = 5,409.63 × 1,143.21
  4. Step 4: Simplify right side
    3,607.77x = 6,184,343.11
  5. Step 5: Solve for x
    x = 6,184,343.11/3,607.77
  6. Step 6: Final answer
    x = 1,714.17

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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.