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Finding the Fourth Proportional to 4,674.91, 7,013.51 and 1,388.00

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Solution

The fourth proportional to 4,674.91, 7,013.51 and 1,388.00 is: 2,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.91 : 7,013.51 = 1,388.00 : x
  2. Step 2: Convert to fraction form
    4,674.91/7,013.51 = 1,388.00/x
  3. Step 3: Cross multiply
    4,674.91x = 7,013.51 × 1,388.00
  4. Step 4: Simplify right side
    4,674.91x = 9,734,720.28
  5. Step 5: Solve for x
    x = 9,734,720.28/4,674.91
  6. Step 6: Final answer
    x = 2,082.33

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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.