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Finding the Fourth Proportional to 9,679.65, 14,510.88 and 3,438.84

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Solution

The fourth proportional to 9,679.65, 14,510.88 and 3,438.84 is: 5,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.65 : 14,510.88 = 3,438.84 : x
  2. Step 2: Convert to fraction form
    9,679.65/14,510.88 = 3,438.84/x
  3. Step 3: Cross multiply
    9,679.65x = 14,510.88 × 3,438.84
  4. Step 4: Simplify right side
    9,679.65x = 49,900,630.86
  5. Step 5: Solve for x
    x = 49,900,630.86/9,679.65
  6. Step 6: Final answer
    x = 5,155.21

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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.