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Finding the Fourth Proportional to 9,684.70, 14,527.05 and 6,404.20

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Solution

The fourth proportional to 9,684.70, 14,527.05 and 6,404.20 is: 9,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.70 : 14,527.05 = 6,404.20 : x
  2. Step 2: Convert to fraction form
    9,684.70/14,527.05 = 6,404.20/x
  3. Step 3: Cross multiply
    9,684.70x = 14,527.05 × 6,404.20
  4. Step 4: Simplify right side
    9,684.70x = 93,034,133.61
  5. Step 5: Solve for x
    x = 93,034,133.61/9,684.70
  6. Step 6: Final answer
    x = 9,606.30

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Similar ratio
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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.