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Finding the Fourth Proportional to 4,785.28, 7,125.92 and 4,768

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Solution

The fourth proportional to 4,785.28, 7,125.92 and 4,768 is: 7,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.28 : 7,125.92 = 4,768 : x
  2. Step 2: Convert to fraction form
    4,785.28/7,125.92 = 4,768/x
  3. Step 3: Cross multiply
    4,785.28x = 7,125.92 × 4,768
  4. Step 4: Simplify right side
    4,785.28x = 33,976,386.56
  5. Step 5: Solve for x
    x = 33,976,386.56/4,785.28
  6. Step 6: Final answer
    x = 7,100.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.