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Finding the Fourth Proportional to 9,626.80, 14,447.50 and 6,499.40

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Solution

The fourth proportional to 9,626.80, 14,447.50 and 6,499.40 is: 9,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.80 : 14,447.50 = 6,499.40 : x
  2. Step 2: Convert to fraction form
    9,626.80/14,447.50 = 6,499.40/x
  3. Step 3: Cross multiply
    9,626.80x = 14,447.50 × 6,499.40
  4. Step 4: Simplify right side
    9,626.80x = 93,900,081.50
  5. Step 5: Solve for x
    x = 93,900,081.50/9,626.80
  6. Step 6: Final answer
    x = 9,754.03

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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.