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Finding the Fourth Proportional to 4,745.12, 7,117.72 and 4,388

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Solution

The fourth proportional to 4,745.12, 7,117.72 and 4,388 is: 6,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.12 : 7,117.72 = 4,388 : x
  2. Step 2: Convert to fraction form
    4,745.12/7,117.72 = 4,388/x
  3. Step 3: Cross multiply
    4,745.12x = 7,117.72 × 4,388
  4. Step 4: Simplify right side
    4,745.12x = 31,232,555.36
  5. Step 5: Solve for x
    x = 31,232,555.36/4,745.12
  6. Step 6: Final answer
    x = 6,582.04

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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.