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Finding the Fourth Proportional to 9,246.90, 12,759.21 and 5,709.90

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Solution

The fourth proportional to 9,246.90, 12,759.21 and 5,709.90 is: 7,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.90 : 12,759.21 = 5,709.90 : x
  2. Step 2: Convert to fraction form
    9,246.90/12,759.21 = 5,709.90/x
  3. Step 3: Cross multiply
    9,246.90x = 12,759.21 × 5,709.90
  4. Step 4: Simplify right side
    9,246.90x = 72,853,813.18
  5. Step 5: Solve for x
    x = 72,853,813.18/9,246.90
  6. Step 6: Final answer
    x = 7,878.73

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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.