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Finding the Fourth Proportional to 6,438.96, 9,658.88 and 2,056.74

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Solution

The fourth proportional to 6,438.96, 9,658.88 and 2,056.74 is: 3,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.96 : 9,658.88 = 2,056.74 : x
  2. Step 2: Convert to fraction form
    6,438.96/9,658.88 = 2,056.74/x
  3. Step 3: Cross multiply
    6,438.96x = 9,658.88 × 2,056.74
  4. Step 4: Simplify right side
    6,438.96x = 19,865,794.57
  5. Step 5: Solve for x
    x = 19,865,794.57/6,438.96
  6. Step 6: Final answer
    x = 3,085.25

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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.