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Finding the Fourth Proportional to 10,515.94, 15,784.84 and 7,745.74

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Solution

The fourth proportional to 10,515.94, 15,784.84 and 7,745.74 is: 11,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.94 : 15,784.84 = 7,745.74 : x
  2. Step 2: Convert to fraction form
    10,515.94/15,784.84 = 7,745.74/x
  3. Step 3: Cross multiply
    10,515.94x = 15,784.84 × 7,745.74
  4. Step 4: Simplify right side
    10,515.94x = 122,265,266.58
  5. Step 5: Solve for x
    x = 122,265,266.58/10,515.94
  6. Step 6: Final answer
    x = 11,626.66

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1.5x scale

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.