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Finding the Fourth Proportional to 9,761.80, 14,631.90 and 4,214.20

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Solution

The fourth proportional to 9,761.80, 14,631.90 and 4,214.20 is: 6,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.80 : 14,631.90 = 4,214.20 : x
  2. Step 2: Convert to fraction form
    9,761.80/14,631.90 = 4,214.20/x
  3. Step 3: Cross multiply
    9,761.80x = 14,631.90 × 4,214.20
  4. Step 4: Simplify right side
    9,761.80x = 61,661,752.98
  5. Step 5: Solve for x
    x = 61,661,752.98/9,761.80
  6. Step 6: Final answer
    x = 6,316.64

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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.