Home / 3,152-4,727.76-1,204.16

Finding the Fourth Proportional to 3,152, 4,727.76 and 1,204.16

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Solution

The fourth proportional to 3,152, 4,727.76 and 1,204.16 is: 1,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152 : 4,727.76 = 1,204.16 : x
  2. Step 2: Convert to fraction form
    3,152/4,727.76 = 1,204.16/x
  3. Step 3: Cross multiply
    3,152x = 4,727.76 × 1,204.16
  4. Step 4: Simplify right side
    3,152x = 5,692,979.48
  5. Step 5: Solve for x
    x = 5,692,979.48/3,152
  6. Step 6: Final answer
    x = 1,806.15

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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.