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Finding the Fourth Proportional to 11,509.87, 15,878.64 and 7,257.58

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Solution

The fourth proportional to 11,509.87, 15,878.64 and 7,257.58 is: 10,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.87 : 15,878.64 = 7,257.58 : x
  2. Step 2: Convert to fraction form
    11,509.87/15,878.64 = 7,257.58/x
  3. Step 3: Cross multiply
    11,509.87x = 15,878.64 × 7,257.58
  4. Step 4: Simplify right side
    11,509.87x = 115,240,500.09
  5. Step 5: Solve for x
    x = 115,240,500.09/11,509.87
  6. Step 6: Final answer
    x = 10,012.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.