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Finding the Fourth Proportional to 3,152.70, 4,727.70 and 1,303.20

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Solution

The fourth proportional to 3,152.70, 4,727.70 and 1,303.20 is: 1,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.70 : 4,727.70 = 1,303.20 : x
  2. Step 2: Convert to fraction form
    3,152.70/4,727.70 = 1,303.20/x
  3. Step 3: Cross multiply
    3,152.70x = 4,727.70 × 1,303.20
  4. Step 4: Simplify right side
    3,152.70x = 6,161,138.64
  5. Step 5: Solve for x
    x = 6,161,138.64/3,152.70
  6. Step 6: Final answer
    x = 1,954.24

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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.