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Finding the Fourth Proportional to 9,012.68, 13,509.72 and 3,464.52

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Solution

The fourth proportional to 9,012.68, 13,509.72 and 3,464.52 is: 5,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.68 : 13,509.72 = 3,464.52 : x
  2. Step 2: Convert to fraction form
    9,012.68/13,509.72 = 3,464.52/x
  3. Step 3: Cross multiply
    9,012.68x = 13,509.72 × 3,464.52
  4. Step 4: Simplify right side
    9,012.68x = 46,804,695.13
  5. Step 5: Solve for x
    x = 46,804,695.13/9,012.68
  6. Step 6: Final answer
    x = 5,193.21

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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.